Number

624

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

624 (six hundred twenty-four) is an even 3-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 13. Its proper divisors sum to 1,112, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCXXIV and in binary, 1001110000.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year Zuckerman Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636

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Historical context — 624 AD

Calendar year

Year 624 (DCXXIV) was a leap year starting on Sunday of the Julian calendar.

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

Historical context — 624 BC

Calendar year

The year 624 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: Thursday
January 1, 624
Ended on: Friday
December 31, 624
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 620s
620–629
Century: 7th century
601–700
Millennium: 1st millennium
1–1000
Years ago: 1,402
1402 years before 2026.

In other calendars

Hebrew: 4384 / 4385 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 2 / 3 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1167 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 2 / 3 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 616 / 617 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 546 / 545 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 48
Digital root: 3
Palindrome: No
Bit width: 10 bits
Reversed: 426
Recamán's sequence: a(8,892) = 624
Square (n²): 389,376
Cube (n³): 242,970,624
Divisor count: 20
σ(n) — sum of divisors: 1,736
φ(n) — Euler's totient: 192
Sum of prime factors: 24

Primality

Prime factorization: 2 ⁴ × 3 × 13

Nearest primes: 619 (−5) · 631 (+7)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 39 · 48 · 52 · 78 · 104 · 156 · 208 · 312 (half) · 624

Aliquot sum (sum of proper divisors): 1,112

Factor pairs (a × b = 624)

1 × 624

2 × 312

3 × 208

4 × 156

6 × 104

8 × 78

12 × 52

13 × 48

16 × 39

24 × 26

First multiples

624 · 1,248 (double) · 1,872 · 2,496 · 3,120 · 3,744 · 4,368 · 4,992 · 5,616 · 6,240

Sums & aliquot sequence

As consecutive integers: 207 + 208 + 209 42 + 43 + … + 54 4 + 5 + … + 35

Aliquot sequence: 624 → 1,112 → 988 → 972 → 1,576 → 1,394 → 874 → 566 → 286 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 — unresolved within range

Continued fraction of √n

√624 = [24; (1, 48)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: six hundred twenty-four
Ordinal: 624th
Roman numeral: DCXXIV
Binary: 1001110000
Octal: 1160
Hexadecimal: 0x270
Base64: AnA=
One's complement: 64,911 (16-bit)
Scientific notation: 6.24 × 10²
As a duration: 624 s = 10 minutes, 24 seconds

In other bases

ternary (3) 212010

quaternary (4) 21300

quinary (5) 4444

senary (6) 2520

septenary (7) 1551

nonary (9) 763

undecimal (11) 518

duodecimal (12) 440

tridecimal (13) 390

tetradecimal (14) 328

pentadecimal (15) 2b9

Palindromic in base 5, base 7

As an angle

624° = 1 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): χκδʹ
Mayan (base 20): 𝋡·𝋫·𝋤
Chinese: 六百二十四
Chinese (financial): 陸佰貳拾肆

In other modern scripts

Eastern Arabic ٦٢٤ Devanagari ६२४ Bengali ৬২৪ Tamil ௬௨௪ Thai ๖๒๔ Tibetan ༦༢༤ Khmer ៦២៤ Lao ໖໒໔ Burmese ၆၂၄

Digit at this position in famous constants

π — Pi (π): Digit 624 = 8
e — Euler's number (e): Digit 624 = 1
φ — Golden ratio (φ): Digit 624 = 2
√2 — Pythagoras's (√2): Digit 624 = 5
ln 2 — Natural log of 2: Digit 624 = 7
γ — Euler-Mascheroni (γ): Digit 624 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 624, here are decompositions:

5 + 619 = 624
7 + 617 = 624
11 + 613 = 624
17 + 607 = 624
23 + 601 = 624
31 + 593 = 624
37 + 587 = 624
47 + 577 = 624

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter Turned M With Long Leg

U+0270

Lowercase letter (Ll)

UTF-8 encoding: C9 B0 (2 bytes).

Lookup U+0270 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000270

RGB(0, 2, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.112.

Address: 0.0.2.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.112

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

Musical pitch

Heard as a frequency, 624 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯5 (622.3 Hz, +5¢)
Scientific pitch (C4 = 256 Hz): D♯5 (608.9 Hz, +42¢)
Baroque pitch (A4 = 415 Hz): E5 (621.8 Hz, +6¢)