Number

1,830

1,830 is a composite number, even, a calendar year.

1,830 (one thousand eight hundred thirty) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 61. Its proper divisors sum to 2,634, more than the number itself, making it an abundant number. It is the 60th triangular number. Written other ways, in Roman numerals it is MDCCCXXX and in binary, 11100100110.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number Squarefree Triangular Year

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,818 1,819 1,820 1,821 1,822 1,823 1,824 1,825 1,826 1,827 1,828 1,829 1,830 1,831 1,832 1,833 1,834 1,835 1,836 1,837 1,838 1,839 1,840 1,841 1,842

less more

Notable events — 1830 AD

Jul 27 The July Revolution erupts in Paris; Charles X abdicates two days later.
Aug 9 Louis-Philippe is proclaimed "King of the French".
Aug 25 The Belgian Revolution begins in Brussels.
May 28 President Jackson signs the Indian Removal Act.
Apr 6 Joseph Smith founds the Church of Jesus Christ of Latter-day Saints.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Friday
January 1, 1830
Ended on: Friday
December 31, 1830
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 11
Sunday, April 11, 1830
Decade: 1830s
1830–1839
Century: 19th century
1801–1900
Millennium: 2nd millennium
1001–2000
Years ago: 196
196 years before 2026.

In other calendars

Hebrew: 5590 / 5591 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1245 / 1246 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Tiger
Sexagenary cycle position 27 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2373 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1208 / 1209 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1822 / 1823 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1752 / 1751 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 381
Recamán's sequence: a(8,084) = 1,830
Square (n²): 3,348,900
Cube (n³): 6,128,487,000
Divisor count: 16
σ(n) — sum of divisors: 4,464
φ(n) — Euler's totient: 480
Sum of prime factors: 71

Primality

Prime factorization: 2 × 3 × 5 × 61

Nearest primes: 1,823 (−7) · 1,831 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 61 · 122 · 183 · 305 · 366 · 610 · 915 (half) · 1830

Aliquot sum (sum of proper divisors): 2,634

Factor pairs (a × b = 1,830)

1 × 1830

2 × 915

3 × 610

5 × 366

6 × 305

10 × 183

15 × 122

30 × 61

First multiples

1,830 · 3,660 (double) · 5,490 · 7,320 · 9,150 · 10,980 · 12,810 · 14,640 · 16,470 · 18,300

Sums & aliquot sequence

As consecutive integers: 609 + 610 + 611 456 + 457 + 458 + 459 364 + 365 + 366 + 367 + 368 147 + 148 + … + 158

Aliquot sequence: 1,830 → 2,634 → 2,646 → 4,194 → 4,932 → 7,626 → 8,502 → 9,978 → 9,990 → 17,370 → 28,026 → 35,136 → 67,226 → 33,616 → 37,808 → 40,312 → 35,288 — unresolved within range

Continued fraction of √n

√1,830 = [42; (1, 3, 1, 1, 16, 1, 1, 3, 1, 84)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one thousand eight hundred thirty
Ordinal: 1830th
Roman numeral: MDCCCXXX
Binary: 11100100110
Octal: 3446
Hexadecimal: 0x726
Base64: ByY=
One's complement: 63,705 (16-bit)
Scientific notation: 1.83 × 10³
As a duration: 1,830 s = 30 minutes, 30 seconds

In other bases

ternary (3) 2111210

quaternary (4) 130212

quinary (5) 24310

senary (6) 12250

septenary (7) 5223

nonary (9) 2453

undecimal (11) 1414

duodecimal (12) 1086

tridecimal (13) aaa

tetradecimal (14) 94a

pentadecimal (15) 820

Palindromic in base 13

As an angle

1,830° = 5 × 360° + 30°

30° ≈ 0.524 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian): ͵αωλʹ
Mayan (base 20): 𝋤·𝋫·𝋪
Chinese: 一千八百三十
Chinese (financial): 壹仟捌佰參拾

In other modern scripts

Eastern Arabic ١٨٣٠ Devanagari १८३० Bengali ১৮৩০ Tamil ௧௮௩௦ Thai ๑๘๓๐ Tibetan ༡༨༣༠ Khmer ១៨៣០ Lao ໑໘໓໐ Burmese ၁၈၃၀

Digit at this position in famous constants

π — Pi (π): Digit 1,830 = 6
e — Euler's number (e): Digit 1,830 = 5
φ — Golden ratio (φ): Digit 1,830 = 2
√2 — Pythagoras's (√2): Digit 1,830 = 4
ln 2 — Natural log of 2: Digit 1,830 = 3
γ — Euler-Mascheroni (γ): Digit 1,830 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1830, here are decompositions:

7 + 1823 = 1830
19 + 1811 = 1830
29 + 1801 = 1830
41 + 1789 = 1830
43 + 1787 = 1830
47 + 1783 = 1830
53 + 1777 = 1830
71 + 1759 = 1830

Showing the first eight; more decompositions exist.

Unicode codepoint

Syriac Letter Pe

U+0726

Other letter (Lo)

UTF-8 encoding: DC A6 (2 bytes).

Lookup U+0726 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000726

RGB(0, 7, 38)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.38.

Address: 0.0.7.38
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.38

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 1,830 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯6 (1864.7 Hz, -32¢)
Scientific pitch (C4 = 256 Hz): A♯6 (1824.6 Hz, +5¢)
Baroque pitch (A4 = 415 Hz): B6 (1863.3 Hz, -31¢)

Position in π

The digit sequence 1830 first appears in π at position 490 of the decimal expansion (the 490ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1830 on Pi Search ↗