Live analysis

501,072

501,072 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.).

501,072 (five hundred one thousand seventy-two) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 11 × 13 × 73. Its proper divisors sum to 1,040,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A550.

Abundant Number Gapful Number Happy Number Odious Number Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

501,060 501,061 501,062 501,063 501,064 501,065 501,066 501,067 501,068 501,069 501,070 501,071 501,072 501,073 501,074 501,075 501,076 501,077 501,078 501,079 501,080 501,081 501,082 501,083 501,084

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Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 270,105
Square (n²): 251,073,149,184
Cube (n³): 125,805,725,007,925,248
Divisor count: 80
σ(n) — sum of divisors: 1,541,568
φ(n) — Euler's totient: 138,240
Sum of prime factors: 108

Primality

Prime factorization: 2 ⁴ × 3 × 11 × 13 × 73

Nearest primes: 501,043 (−29) · 501,077 (+5)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 13 · 16 · 22 · 24 · 26 · 33 · 39 · 44 · 48 · 52 · 66 · 73 · 78 · 88 · 104 · 132 · 143 · 146 · 156 · 176 · 208 · 219 · 264 · 286 · 292 · 312 · 429 · 438 · 528 · 572 · 584 · 624 · 803 · 858 · 876 · 949 · 1144 · 1168 · 1606 · 1716 · 1752 · 1898 · 2288 · 2409 · 2847 · 3212 · 3432 · 3504 · 3796 · 4818 · 5694 · 6424 · 6864 · 7592 · 9636 · 10439 · 11388 · 12848 · 15184 · 19272 · 20878 · 22776 · 31317 · 38544 · 41756 · 45552 · 62634 · 83512 · 125268 · 167024 · 250536 (half) · 501072

Aliquot sum (sum of proper divisors): 1,040,496

Factor pairs (a × b = 501,072)

1 × 501072

2 × 250536

3 × 167024

4 × 125268

6 × 83512

8 × 62634

11 × 45552

12 × 41756

13 × 38544

16 × 31317

22 × 22776

24 × 20878

26 × 19272

33 × 15184

39 × 12848

44 × 11388

48 × 10439

52 × 9636

66 × 7592

73 × 6864

78 × 6424

88 × 5694

104 × 4818

132 × 3796

143 × 3504

146 × 3432

156 × 3212

176 × 2847

208 × 2409

219 × 2288

264 × 1898

286 × 1752

292 × 1716

312 × 1606

429 × 1168

438 × 1144

528 × 949

572 × 876

584 × 858

624 × 803

First multiples

501,072 · 1,002,144 (double) · 1,503,216 · 2,004,288 · 2,505,360 · 3,006,432 · 3,507,504 · 4,008,576 · 4,509,648 · 5,010,720

Sums & aliquot sequence

As consecutive integers: 167,023 + 167,024 + 167,025 45,547 + 45,548 + … + 45,557 38,538 + 38,539 + … + 38,550 15,643 + 15,644 + … + 15,674

Aliquot sequence: 501,072 → 1,040,496 → 1,704,864 → 3,617,376 → 7,442,904 → 14,205,696 → 24,425,904 → 39,445,008 → 62,454,720 → 139,005,888 → 288,689,472 → 538,788,426 → 643,813,302 → 766,131,018 → 766,131,030 → 1,522,299,114 → 2,618,265,366 — unresolved within range

Continued fraction of √n

√501,072 = [707; (1, 6, 2, 1, 2, 21, 1, 2, 1, 28, 1, 2, 1, 21, 2, 1, 2, 6, 1, 1414)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: five hundred one thousand seventy-two
Ordinal: 501072nd
Binary: 1111010010101010000
Octal: 1722520
Hexadecimal: 0x7A550
Base64: B6VQ
One's complement: 4,294,466,223 (32-bit)
Scientific notation: 5.01072 × 10⁵
As a duration: 501,072 s = 5 days, 19 hours, 11 minutes, 12 seconds

In other bases

ternary (3) 221110100020

quaternary (4) 1322111100

quinary (5) 112013242

senary (6) 14423440

septenary (7) 4154565

nonary (9) 843306

undecimal (11) 312510

duodecimal (12) 201b80

tridecimal (13) 1470c0

tetradecimal (14) d086c

pentadecimal (15) 9d6ec

As an angle

501,072° = 1,391 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵φαοβʹ
Chinese: 五十萬一千零七十二
Chinese (financial): 伍拾萬壹仟零柒拾貳

In other modern scripts

Eastern Arabic ٥٠١٠٧٢ Devanagari ५०१०७२ Bengali ৫০১০৭২ Tamil ௫௦௧௦௭௨ Thai ๕๐๑๐๗๒ Tibetan ༥༠༡༠༧༢ Khmer ៥០១០៧២ Lao ໕໐໑໐໗໒ Burmese ၅၀၁၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 501072, here are decompositions:

29 + 501043 = 501072
41 + 501031 = 501072
43 + 501029 = 501072
53 + 501019 = 501072
59 + 501013 = 501072
71 + 501001 = 501072
139 + 500933 = 501072
149 + 500923 = 501072

Showing the first eight; more decompositions exist.

Hex color

#07A550

RGB(7, 165, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.165.80.

Address: 0.7.165.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.165.80

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 501,072 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 US501,072 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 501072 first appears in π at position 555,581 of the decimal expansion (the 555,581ordinal-suffix:st 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 501072 on Pi Search ↗