Live analysis

472,704

472,704 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

472,704 (four hundred seventy-two thousand seven hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 3 × 1,231. Its proper divisors sum to 783,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73680.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Refactorable Number Semiperfect Number Smith Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

472,692 472,693 472,694 472,695 472,696 472,697 472,698 472,699 472,700 472,701 472,702 472,703 472,704 472,705 472,706 472,707 472,708 472,709 472,710 472,711 472,712 472,713 472,714 472,715 472,716

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Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 407,274
Square (n²): 223,449,071,616
Cube (n³): 105,625,269,949,169,664
Divisor count: 32
σ(n) — sum of divisors: 1,256,640
φ(n) — Euler's totient: 157,440
Sum of prime factors: 1,248

Primality

Prime factorization: 2 ⁷ × 3 × 1231

Nearest primes: 472,697 (−7) · 472,709 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 · 384 · 1231 · 2462 · 3693 · 4924 · 7386 · 9848 · 14772 · 19696 · 29544 · 39392 · 59088 · 78784 · 118176 · 157568 · 236352 (half) · 472704

Aliquot sum (sum of proper divisors): 783,936

Factor pairs (a × b = 472,704)

1 × 472704

2 × 236352

3 × 157568

4 × 118176

6 × 78784

8 × 59088

12 × 39392

16 × 29544

24 × 19696

32 × 14772

48 × 9848

64 × 7386

96 × 4924

128 × 3693

192 × 2462

384 × 1231

First multiples

472,704 · 945,408 (double) · 1,418,112 · 1,890,816 · 2,363,520 · 2,836,224 · 3,308,928 · 3,781,632 · 4,254,336 · 4,727,040

Sums & aliquot sequence

As consecutive integers: 157,567 + 157,568 + 157,569 1,719 + 1,720 + … + 1,974 232 + 233 + … + 999

Aliquot sequence: 472,704 → 783,936 → 1,464,726 → 1,464,738 → 1,731,198 → 2,314,626 → 2,314,638 → 2,700,450 → 5,003,298 → 5,837,220 → 11,869,560 → 26,707,680 → 69,881,904 → 127,746,072 → 231,052,368 → 365,833,040 → 505,986,160 — unresolved within range

Continued fraction of √n

√472,704 = [687; (1, 1, 6, 1, 2, 3, 11, 3, 1, 8, 1, 2, 1, 2, 14, 1, 1, 2, 1, 1, 4, 3, 1, 6, …)]

Representations

In words: four hundred seventy-two thousand seven hundred four
Ordinal: 472704th
Binary: 1110011011010000000
Octal: 1633200
Hexadecimal: 0x73680
Base64: BzaA
One's complement: 4,294,494,591 (32-bit)
Scientific notation: 4.72704 × 10⁵
As a duration: 472,704 s = 5 days, 11 hours, 18 minutes, 24 seconds

In other bases

ternary (3) 220000102120

quaternary (4) 1303122000

quinary (5) 110111304

senary (6) 14044240

septenary (7) 4006101

nonary (9) 800376

undecimal (11) 2a3171

duodecimal (12) 1a9680

tridecimal (13) 13720b

tetradecimal (14) c43a8

pentadecimal (15) 950d9

As an angle

472,704° = 1,313 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβψδʹ
Chinese: 四十七萬二千七百零四
Chinese (financial): 肆拾柒萬貳仟柒佰零肆

In other modern scripts

Eastern Arabic ٤٧٢٧٠٤ Devanagari ४७२७०४ Bengali ৪৭২৭০৪ Tamil ௪௭௨௭௦௪ Thai ๔๗๒๗๐๔ Tibetan ༤༧༢༧༠༤ Khmer ៤៧២៧០៤ Lao ໔໗໒໗໐໔ Burmese ၄၇၂၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472704, here are decompositions:

7 + 472697 = 472704
13 + 472691 = 472704
17 + 472687 = 472704
61 + 472643 = 472704
73 + 472631 = 472704
107 + 472597 = 472704
131 + 472573 = 472704
163 + 472541 = 472704

Showing the first eight; more decompositions exist.

Hex color

#073680

RGB(7, 54, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.128.

Address: 0.7.54.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.54.128

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 472,704 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US472,704 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472704 first appears in π at position 588,865 of the decimal expansion (the 588,865ordinal-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 472704 on Pi Search ↗