Live analysis

507,472

507,472 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.).

507,472 (five hundred seven thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 23 × 197. Its proper divisors sum to 671,024, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7BE50.

Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

507,460 507,461 507,462 507,463 507,464 507,465 507,466 507,467 507,468 507,469 507,470 507,471 507,472 507,473 507,474 507,475 507,476 507,477 507,478 507,479 507,480 507,481 507,482 507,483 507,484

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Properties

Parity: Even
Digit count: 6
Digit sum: 25
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 19 bits
Reversed: 274,705
Square (n²): 257,527,830,784
Cube (n³): 130,688,163,343,618,048
Divisor count: 40
σ(n) — sum of divisors: 1,178,496
φ(n) — Euler's totient: 206,976
Sum of prime factors: 235

Primality

Prime factorization: 2 ⁴ × 7 × 23 × 197

Nearest primes: 507,461 (−11) · 507,491 (+19)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 23 · 28 · 46 · 56 · 92 · 112 · 161 · 184 · 197 · 322 · 368 · 394 · 644 · 788 · 1288 · 1379 · 1576 · 2576 · 2758 · 3152 · 4531 · 5516 · 9062 · 11032 · 18124 · 22064 · 31717 · 36248 · 63434 · 72496 · 126868 · 253736 (half) · 507472

Aliquot sum (sum of proper divisors): 671,024

Factor pairs (a × b = 507,472)

1 × 507472

2 × 253736

4 × 126868

7 × 72496

8 × 63434

14 × 36248

16 × 31717

23 × 22064

28 × 18124

46 × 11032

56 × 9062

92 × 5516

112 × 4531

161 × 3152

184 × 2758

197 × 2576

322 × 1576

368 × 1379

394 × 1288

644 × 788

First multiples

507,472 · 1,014,944 (double) · 1,522,416 · 2,029,888 · 2,537,360 · 3,044,832 · 3,552,304 · 4,059,776 · 4,567,248 · 5,074,720

Sums & aliquot sequence

As consecutive integers: 72,493 + 72,494 + … + 72,499 22,053 + 22,054 + … + 22,075 15,843 + 15,844 + … + 15,874 3,072 + 3,073 + … + 3,232

Aliquot sequence: 507,472 → 671,024 → 706,120 → 906,680 → 1,242,520 → 1,553,240 → 2,377,960 → 3,745,640 → 4,975,360 → 8,490,512 → 8,005,084 → 6,023,700 → 14,391,660 → 26,234,772 → 34,979,724 → 62,618,868 → 107,844,880 — unresolved within range

Continued fraction of √n

√507,472 = [712; (2, 1, 2, 3, 3, 1, 202, 1, 3, 3, 2, 1, 2, 1424)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: five hundred seven thousand four hundred seventy-two
Ordinal: 507472nd
Binary: 1111011111001010000
Octal: 1737120
Hexadecimal: 0x7BE50
Base64: B75Q
One's complement: 4,294,459,823 (32-bit)
Scientific notation: 5.07472 × 10⁵
As a duration: 507,472 s = 5 days, 20 hours, 57 minutes, 52 seconds

In other bases

ternary (3) 221210010021

quaternary (4) 1323321100

quinary (5) 112214342

senary (6) 14513224

septenary (7) 4212340

nonary (9) 853107

undecimal (11) 3172a9

duodecimal (12) 205814

tridecimal (13) 149ca4

tetradecimal (14) d2d20

pentadecimal (15) a0567

As an angle

507,472° = 1,409 × 360° + 232°

232° ≈ 4.049 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵φζυοβʹ
Chinese: 五十萬七千四百七十二
Chinese (financial): 伍拾萬柒仟肆佰柒拾貳

In other modern scripts

Eastern Arabic ٥٠٧٤٧٢ Devanagari ५०७४७२ Bengali ৫০৭৪৭২ Tamil ௫௦௭௪௭௨ Thai ๕๐๗๔๗๒ Tibetan ༥༠༧༤༧༢ Khmer ៥០៧៤៧២ Lao ໕໐໗໔໗໒ Burmese ၅၀၇၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 507472, here are decompositions:

11 + 507461 = 507472
41 + 507431 = 507472
71 + 507401 = 507472
89 + 507383 = 507472
101 + 507371 = 507472
113 + 507359 = 507472
353 + 507119 = 507472
359 + 507113 = 507472

Showing the first eight; more decompositions exist.

Hex color

#07BE50

RGB(7, 190, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.190.80.

Address: 0.7.190.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.190.80

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 507,472 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 US507,472 on Google Patents ↗ Look up on USPTO ↗