Number

612

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

612 (six hundred twelve) is an even 3-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 17. Its proper divisors sum to 1,026, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCXII and in binary, 1001100100.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Year Zuckerman Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

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

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Historical context — 612 AD

Calendar year

Year 612 (DCXII) was a leap year starting on Saturday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 612 BC

Calendar year

The year 612 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 612
Ended on: Thursday
December 31, 612
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 610s
610–619
Century: 7th century
601–700
Millennium: 1st millennium
1–1000
Years ago: 1,414
1414 years before 2026.

In other calendars

Hebrew: 4372 / 4373 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1155 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 604 / 605 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 534 / 533 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 9
Digit product: 12
Digital root: 9
Palindrome: No
Bit width: 10 bits
Reversed: 216
Recamán's sequence: a(1,035) = 612
Square (n²): 374,544
Cube (n³): 229,220,928
Divisor count: 18
σ(n) — sum of divisors: 1,638
φ(n) — Euler's totient: 192
Sum of prime factors: 27

Primality

Prime factorization: 2 ² × 3 ² × 17

Nearest primes: 607 (−5) · 613 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 17 · 18 · 34 · 36 · 51 · 68 · 102 · 153 · 204 · 306 (half) · 612

Aliquot sum (sum of proper divisors): 1,026

Factor pairs (a × b = 612)

1 × 612

2 × 306

3 × 204

4 × 153

6 × 102

9 × 68

12 × 51

17 × 36

18 × 34

First multiples

612 · 1,224 (double) · 1,836 · 2,448 · 3,060 · 3,672 · 4,284 · 4,896 · 5,508 · 6,120

Sums & aliquot sequence

As a sum of two squares: 6² + 24²

As consecutive integers: 203 + 204 + 205 73 + 74 + … + 80 64 + 65 + … + 72 28 + 29 + … + 44

Aliquot sequence: 612 → 1,026 → 1,374 → 1,386 → 2,358 → 2,790 → 4,698 → 6,192 → 11,540 → 12,736 → 12,664 → 11,096 → 11,104 → 10,820 → 11,944 → 10,466 → 5,236 — unresolved within range

Continued fraction of √n

√612 = [24; (1, 2, 1, 4, 1, 2, 1, 48)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: six hundred twelve
Ordinal: 612th
Roman numeral: DCXII
Binary: 1001100100
Octal: 1144
Hexadecimal: 0x264
Base64: AmQ=
One's complement: 64,923 (16-bit)
Scientific notation: 6.12 × 10²
As a duration: 612 s = 10 minutes, 12 seconds

In other bases

ternary (3) 211200

quaternary (4) 21210

quinary (5) 4422

senary (6) 2500

septenary (7) 1533

nonary (9) 750

undecimal (11) 507

duodecimal (12) 430

tridecimal (13) 381

tetradecimal (14) 31a

pentadecimal (15) 2ac

As an angle

612° = 1 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian): χιβʹ
Mayan (base 20): 𝋡·𝋪·𝋬
Chinese: 六百一十二
Chinese (financial): 陸佰壹拾貳

In other modern scripts

Eastern Arabic ٦١٢ Devanagari ६१२ Bengali ৬১২ Tamil ௬௧௨ Thai ๖๑๒ Tibetan ༦༡༢ Khmer ៦១២ Lao ໖໑໒ Burmese ၆၁၂

Digit at this position in famous constants

π — Pi (π): Digit 612 = 4
e — Euler's number (e): Digit 612 = 6
φ — Golden ratio (φ): Digit 612 = 2
√2 — Pythagoras's (√2): Digit 612 = 6
ln 2 — Natural log of 2: Digit 612 = 1
γ — Euler-Mascheroni (γ): Digit 612 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 612, here are decompositions:

5 + 607 = 612
11 + 601 = 612
13 + 599 = 612
19 + 593 = 612
41 + 571 = 612
43 + 569 = 612
71 + 541 = 612
89 + 523 = 612

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter Rams Horn

U+0264

Lowercase letter (Ll)

UTF-8 encoding: C9 A4 (2 bytes).

Lookup U+0264 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000264

RGB(0, 2, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.100.

Address: 0.0.2.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.100

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

NANP area code 612

The number 612 is an active NANP area code (North American Numbering Plan).

Primary area: Minneapolis
Region: Minnesota
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 612 ↗

Musical pitch

Heard as a frequency, 612 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯5 (622.3 Hz, -29¢)
Scientific pitch (C4 = 256 Hz): D♯5 (608.9 Hz, +9¢)
Baroque pitch (A4 = 415 Hz): E5 (621.8 Hz, -27¢)