Live analysis

500,472

500,472 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.).

500,472 (five hundred thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 7 × 331. Its proper divisors sum to 1,093,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A2F8.

Abundant Number Arithmetic Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

500,460 500,461 500,462 500,463 500,464 500,465 500,466 500,467 500,468 500,469 500,470 500,471 500,472 500,473 500,474 500,475 500,476 500,477 500,478 500,479 500,480 500,481 500,482 500,483 500,484

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 274,005
Square (n²): 250,472,222,784
Cube (n³): 125,354,334,281,154,048
Divisor count: 64
σ(n) — sum of divisors: 1,593,600
φ(n) — Euler's totient: 142,560
Sum of prime factors: 353

Primality

Prime factorization: 2 ³ × 3 ³ × 7 × 331

Nearest primes: 500,471 (−1) · 500,473 (+1)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 27 · 28 · 36 · 42 · 54 · 56 · 63 · 72 · 84 · 108 · 126 · 168 · 189 · 216 · 252 · 331 · 378 · 504 · 662 · 756 · 993 · 1324 · 1512 · 1986 · 2317 · 2648 · 2979 · 3972 · 4634 · 5958 · 6951 · 7944 · 8937 · 9268 · 11916 · 13902 · 17874 · 18536 · 20853 · 23832 · 27804 · 35748 · 41706 · 55608 · 62559 · 71496 · 83412 · 125118 · 166824 · 250236 (half) · 500472

Aliquot sum (sum of proper divisors): 1,093,128

Factor pairs (a × b = 500,472)

1 × 500472

2 × 250236

3 × 166824

4 × 125118

6 × 83412

7 × 71496

8 × 62559

9 × 55608

12 × 41706

14 × 35748

18 × 27804

21 × 23832

24 × 20853

27 × 18536

28 × 17874

36 × 13902

42 × 11916

54 × 9268

56 × 8937

63 × 7944

72 × 6951

84 × 5958

108 × 4634

126 × 3972

168 × 2979

189 × 2648

216 × 2317

252 × 1986

331 × 1512

378 × 1324

504 × 993

662 × 756

First multiples

500,472 · 1,000,944 (double) · 1,501,416 · 2,001,888 · 2,502,360 · 3,002,832 · 3,503,304 · 4,003,776 · 4,504,248 · 5,004,720

Sums & aliquot sequence

As a sum of two cubes: 62³ + 64³

As consecutive integers: 166,823 + 166,824 + 166,825 71,493 + 71,494 + … + 71,499 55,604 + 55,605 + … + 55,612 31,272 + 31,273 + … + 31,287

Aliquot sequence: 500,472 → 1,093,128 → 1,715,832 → 2,931,408 → 5,272,866 → 6,194,538 → 9,283,158 → 11,260,170 → 18,016,506 → 22,548,096 → 47,113,314 → 47,113,326 → 66,904,578 → 91,444,158 → 122,609,682 → 164,525,166 → 221,461,890 — unresolved within range

Continued fraction of √n

√500,472 = [707; (2, 3, 1, 2, 3, 7, 29, 1, 29, 7, 3, 2, 1, 3, 2, 1414)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: five hundred thousand four hundred seventy-two
Ordinal: 500472nd
Binary: 1111010001011111000
Octal: 1721370
Hexadecimal: 0x7A2F8
Base64: B6L4
One's complement: 4,294,466,823 (32-bit)
Scientific notation: 5.00472 × 10⁵
As a duration: 500,472 s = 5 days, 19 hours, 1 minute, 12 seconds

In other bases

ternary (3) 221102112000

quaternary (4) 1322023320

quinary (5) 112003342

senary (6) 14421000

septenary (7) 4153050

nonary (9) 842460

undecimal (11) 312015

duodecimal (12) 201760

tridecimal (13) 146a4b

tetradecimal (14) d0560

pentadecimal (15) 9d44c

As an angle

500,472° = 1,390 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵φυοβʹ
Chinese: 五十萬零四百七十二
Chinese (financial): 伍拾萬零肆佰柒拾貳

In other modern scripts

Eastern Arabic ٥٠٠٤٧٢ Devanagari ५००४७२ Bengali ৫০০৪৭২ Tamil ௫௦௦௪௭௨ Thai ๕๐๐๔๗๒ Tibetan ༥༠༠༤༧༢ Khmer ៥០០៤៧២ Lao ໕໐໐໔໗໒ Burmese ၅၀၀၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 500472, here are decompositions:

13 + 500459 = 500472
29 + 500443 = 500472
41 + 500431 = 500472
59 + 500413 = 500472
79 + 500393 = 500472
83 + 500389 = 500472
103 + 500369 = 500472
109 + 500363 = 500472

Showing the first eight; more decompositions exist.

Hex color

#07A2F8

RGB(7, 162, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.162.248.

Address: 0.7.162.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.162.248

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 500,472 and was likely granted around 1893.

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

Look up US500,472 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 500472 first appears in π at position 740,715 of the decimal expansion (the 740,715ordinal-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 500472 on Pi Search ↗