Live analysis

509,004

509,004 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.).

509,004 (five hundred nine thousand four) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2² × 3⁴ × 1,571. Its proper divisors sum to 822,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7C44C.

Abundant Number Gapful Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

508,992 508,993 508,994 508,995 508,996 508,997 508,998 508,999 509,000 509,001 509,002 509,003 509,004 509,005 509,006 509,007 509,008 509,009 509,010 509,011 509,012 509,013 509,014 509,015 509,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 400,905
Square (n²): 259,085,072,016
Cube (n³): 131,875,337,996,432,064
Divisor count: 30
σ(n) — sum of divisors: 1,331,484
φ(n) — Euler's totient: 169,560
Sum of prime factors: 1,587

Primality

Prime factorization: 2 ² × 3 ⁴ × 1571

Nearest primes: 508,987 (−17) · 509,023 (+19)

Divisors & multiples

All divisors (30)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 81 · 108 · 162 · 324 · 1571 · 3142 · 4713 · 6284 · 9426 · 14139 · 18852 · 28278 · 42417 · 56556 · 84834 · 127251 · 169668 · 254502 (half) · 509004

Aliquot sum (sum of proper divisors): 822,480

Factor pairs (a × b = 509,004)

1 × 509004

2 × 254502

3 × 169668

4 × 127251

6 × 84834

9 × 56556

12 × 42417

18 × 28278

27 × 18852

36 × 14139

54 × 9426

81 × 6284

108 × 4713

162 × 3142

324 × 1571

First multiples

509,004 · 1,018,008 (double) · 1,527,012 · 2,036,016 · 2,545,020 · 3,054,024 · 3,563,028 · 4,072,032 · 4,581,036 · 5,090,040

Sums & aliquot sequence

As consecutive integers: 169,667 + 169,668 + 169,669 63,622 + 63,623 + … + 63,629 56,552 + 56,553 + … + 56,560 21,197 + 21,198 + … + 21,220

Aliquot sequence: 509,004 → 822,480 → 1,855,920 → 4,929,360 → 12,212,400 → 26,911,832 → 23,547,868 → 17,660,908 → 13,903,604 → 15,073,036 → 13,702,844 → 10,367,524 → 7,937,000 → 10,637,920 → 15,979,328 → 15,729,778 → 7,881,722 — unresolved within range

Continued fraction of √n

√509,004 = [713; (2, 4, 16, 1, 31, 2, 19, 3, 14, 11, 1, 2, 1, 1, 1, 1, 6, 39, 2, 15, 1, 2, 1, 1, …)]

Representations

In words: five hundred nine thousand four
Ordinal: 509004th
Binary: 1111100010001001100
Octal: 1742114
Hexadecimal: 0x7C44C
Base64: B8RM
One's complement: 4,294,458,291 (32-bit)
Scientific notation: 5.09004 × 10⁵
As a duration: 509,004 s = 5 days, 21 hours, 23 minutes, 24 seconds

In other bases

ternary (3) 221212020000

quaternary (4) 1330101030

quinary (5) 112242004

senary (6) 14524300

septenary (7) 4216656

nonary (9) 855200

undecimal (11) 318471

duodecimal (12) 206690

tridecimal (13) 14a8b2

tetradecimal (14) d36d6

pentadecimal (15) a0c39

As an angle

509,004° = 1,413 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵φθδʹ
Chinese: 五十萬九千零四
Chinese (financial): 伍拾萬玖仟零肆

In other modern scripts

Eastern Arabic ٥٠٩٠٠٤ Devanagari ५०९००४ Bengali ৫০৯০০৪ Tamil ௫௦௯௦௦௪ Thai ๕๐๙๐๐๔ Tibetan ༥༠༩༠༠༤ Khmer ៥០៩០០៤ Lao ໕໐໙໐໐໔ Burmese ၅၀၉၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 509004, here are decompositions:

17 + 508987 = 509004
31 + 508973 = 509004
43 + 508961 = 509004
47 + 508957 = 509004
53 + 508951 = 509004
61 + 508943 = 509004
73 + 508931 = 509004
101 + 508903 = 509004

Showing the first eight; more decompositions exist.

Hex color

#07C44C

RGB(7, 196, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.196.76.

Address: 0.7.196.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.196.76

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 509,004 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 US509,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 509004 first appears in π at position 999,417 of the decimal expansion (the 999,417ordinal-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 509004 on Pi Search ↗