Number

1,612

1,612 is a composite number, even, a calendar year.

1,612 (one thousand six hundred twelve) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 31. Written other ways, in Roman numerals it is MDCXII and in binary, 11001001100.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,600 1,601 1,602 1,603 1,604 1,605 1,606 1,607 1,608 1,609 1,610 1,611 1,612 1,613 1,614 1,615 1,616 1,617 1,618 1,619 1,620 1,621 1,622 1,623 1,624

less more

Notable events — 1612 AD

Mar 26 The Last Witch Burnings at Lancaster (Pendle witch trials). Actually: Pendle witches tried in August.
Aug 20 The Pendle witches are tried at Lancaster Castle.
Nov 6 Henry Frederick, Prince of Wales, dies in England.

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

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Sunday
January 1, 1612
Ended on: Monday
December 31, 1612
Friday the 13ths: 3
3 Friday the 13ths this year.
Easter Sunday: April 22
Sunday, April 22, 1612
Decade: 1610s
1610–1619
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 414
414 years before 2026.

In other calendars

Hebrew: 5372 / 5373 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1020 / 1021 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Rat
Sexagenary cycle position 49 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2155 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 990 / 991 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1604 / 1605 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1534 / 1533 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 12
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 2,161
Recamán's sequence: a(1,320) = 1,612
Square (n²): 2,598,544
Cube (n³): 4,188,852,928
Divisor count: 12
σ(n) — sum of divisors: 3,136
φ(n) — Euler's totient: 720
Sum of prime factors: 48

Primality

Prime factorization: 2 ² × 13 × 31

Nearest primes: 1,609 (−3) · 1,613 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 13 · 26 · 31 · 52 · 62 · 124 · 403 · 806 (half) · 1612

Aliquot sum (sum of proper divisors): 1,524

Factor pairs (a × b = 1,612)

1 × 1612

2 × 806

4 × 403

13 × 124

26 × 62

31 × 52

First multiples

1,612 · 3,224 (double) · 4,836 · 6,448 · 8,060 · 9,672 · 11,284 · 12,896 · 14,508 · 16,120

Sums & aliquot sequence

As consecutive integers: 198 + 199 + … + 205 118 + 119 + … + 130 37 + 38 + … + 67

Aliquot sequence: 1,612 → 1,524 → 2,060 → 2,308 → 1,738 → 1,142 → 574 → 434 → 334 → 170 → 154 → 134 → 70 → 74 → 40 → 50 → 43 — unresolved within range

Continued fraction of √n

√1,612 = [40; (6, 1, 2, 8, 1, 1, 2, 1, 26, 20, 26, 1, 2, 1, 1, 8, 2, 1, 6, 80)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one thousand six hundred twelve
Ordinal: 1612th
Roman numeral: MDCXII
Binary: 11001001100
Octal: 3114
Hexadecimal: 0x64C
Base64: Bkw=
One's complement: 63,923 (16-bit)
Scientific notation: 1.612 × 10³
As a duration: 1,612 s = 26 minutes, 52 seconds

In other bases

ternary (3) 2012201

quaternary (4) 121030

quinary (5) 22422

senary (6) 11244

septenary (7) 4462

nonary (9) 2181

undecimal (11) 1236

duodecimal (12) b24

tridecimal (13) 970

tetradecimal (14) 832

pentadecimal (15) 727

Palindromic in base 5, base 15

As an angle

1,612° = 4 × 360° + 172°

172° ≈ 3.002 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian): ͵αχιβʹ
Mayan (base 20): 𝋤·𝋠·𝋬
Chinese: 一千六百一十二
Chinese (financial): 壹仟陸佰壹拾貳

In other modern scripts

Eastern Arabic ١٦١٢ Devanagari १६१२ Bengali ১৬১২ Tamil ௧௬௧௨ Thai ๑๖๑๒ Tibetan ༡༦༡༢ Khmer ១៦១២ Lao ໑໖໑໒ Burmese ၁၆၁၂

Digit at this position in famous constants

π — Pi (π): Digit 1,612 = 6
e — Euler's number (e): Digit 1,612 = 3
φ — Golden ratio (φ): Digit 1,612 = 3
√2 — Pythagoras's (√2): Digit 1,612 = 8
ln 2 — Natural log of 2: Digit 1,612 = 9
γ — Euler-Mascheroni (γ): Digit 1,612 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1612, here are decompositions:

3 + 1609 = 1612
5 + 1607 = 1612
11 + 1601 = 1612
29 + 1583 = 1612
41 + 1571 = 1612
53 + 1559 = 1612
59 + 1553 = 1612
89 + 1523 = 1612

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Dammatan

U+064C

Non-spacing mark (Mn)

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

Lookup U+064C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00064C

RGB(0, 6, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.76.

Address: 0.0.6.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.76

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

Musical pitch

Heard as a frequency, 1,612 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, +48¢ — about midway to G♯6)
Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, -14¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, +49¢ — about midway to A6)

Position in π

The digit sequence 1612 first appears in π at position 15,405 of the decimal expansion (the 15,405ordinal-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 1612 on Pi Search ↗