Number

1,650

1,650 is a composite number, even, a calendar year.

1,650 (one thousand six hundred fifty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2 × 3 × 5² × 11. Its proper divisors sum to 2,814, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCL and in binary, 11001110010.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,638 1,639 1,640 1,641 1,642 1,643 1,644 1,645 1,646 1,647 1,648 1,649 1,650 1,651 1,652 1,653 1,654 1,655 1,656 1,657 1,658 1,659 1,660 1,661 1,662

less more

Notable events — 1650 AD

Sep 3 Cromwell defeats the Scots at Dunbar.
Aug 28 Charles II is crowned king of Scotland.
Feb 11 Philosopher René Descartes dies in Sweden.

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: Saturday
January 1, 1650
Ended on: Saturday
December 31, 1650
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 17
Sunday, April 17, 1650
Decade: 1650s
1650–1659
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 376
376 years before 2026.

In other calendars

Hebrew: 5410 / 5411 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1059 / 1061 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: 2193 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1028 / 1029 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1642 / 1643 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1572 / 1571 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: 561
Recamán's sequence: a(756) = 1,650
Square (n²): 2,722,500
Cube (n³): 4,492,125,000
Divisor count: 24
σ(n) — sum of divisors: 4,464
φ(n) — Euler's totient: 400
Sum of prime factors: 26

Primality

Prime factorization: 2 × 3 × 5 ² × 11

Nearest primes: 1,637 (−13) · 1,657 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 5 · 6 · 10 · 11 · 15 · 22 · 25 · 30 · 33 · 50 · 55 · 66 · 75 · 110 · 150 · 165 · 275 · 330 · 550 · 825 (half) · 1650

Aliquot sum (sum of proper divisors): 2,814

Factor pairs (a × b = 1,650)

1 × 1650

2 × 825

3 × 550

5 × 330

6 × 275

10 × 165

11 × 150

15 × 110

22 × 75

25 × 66

30 × 55

33 × 50

First multiples

1,650 · 3,300 (double) · 4,950 · 6,600 · 8,250 · 9,900 · 11,550 · 13,200 · 14,850 · 16,500

Sums & aliquot sequence

As consecutive integers: 549 + 550 + 551 411 + 412 + 413 + 414 328 + 329 + 330 + 331 + 332 145 + 146 + … + 155

Aliquot sequence: 1,650 → 2,814 → 3,714 → 3,726 → 4,986 → 5,856 → 9,768 → 17,592 → 26,448 → 47,952 → 94,586 → 47,296 → 46,684 → 42,524 → 31,900 → 46,220 → 50,884 — unresolved within range

Continued fraction of √n

√1,650 = [40; (1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 80)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one thousand six hundred fifty
Ordinal: 1650th
Roman numeral: MDCL
Binary: 11001110010
Octal: 3162
Hexadecimal: 0x672
Base64: BnI=
One's complement: 63,885 (16-bit)
Scientific notation: 1.65 × 10³
As a duration: 1,650 s = 27 minutes, 30 seconds

In other bases

ternary (3) 2021010

quaternary (4) 121302

quinary (5) 23100

senary (6) 11350

septenary (7) 4545

nonary (9) 2233

undecimal (11) 1270

duodecimal (12) b56

tridecimal (13) 99c

tetradecimal (14) 85c

pentadecimal (15) 750

As an angle

1,650° = 4 × 360° + 210°

210° ≈ 3.665 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵αχνʹ
Mayan (base 20): 𝋤·𝋢·𝋪
Chinese: 一千六百五十
Chinese (financial): 壹仟陸佰伍拾

In other modern scripts

Eastern Arabic ١٦٥٠ Devanagari १६५० Bengali ১৬৫০ Tamil ௧௬௫௦ Thai ๑๖๕๐ Tibetan ༡༦༥༠ Khmer ១៦៥០ Lao ໑໖໕໐ Burmese ၁၆၅၀

Digit at this position in famous constants

π — Pi (π): Digit 1,650 = 4
e — Euler's number (e): Digit 1,650 = 7
φ — Golden ratio (φ): Digit 1,650 = 8
√2 — Pythagoras's (√2): Digit 1,650 = 1
ln 2 — Natural log of 2: Digit 1,650 = 4
γ — Euler-Mascheroni (γ): Digit 1,650 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1650, here are decompositions:

13 + 1637 = 1650
23 + 1627 = 1650
29 + 1621 = 1650
31 + 1619 = 1650
37 + 1613 = 1650
41 + 1609 = 1650
43 + 1607 = 1650
53 + 1597 = 1650

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Alef With Wavy Hamza Above

U+0672

Other letter (Lo)

UTF-8 encoding: D9 B2 (2 bytes).

Lookup U+0672 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000672

RGB(0, 6, 114)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.114.

Address: 0.0.6.114
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.114

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

Musical pitch

Heard as a frequency, 1,650 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, -12¢)
Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, +26¢)
Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, -10¢)

Position in π

The digit sequence 1650 first appears in π at position 39,091 of the decimal expansion (the 39,091ordinal-suffix:st 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 1650 on Pi Search ↗