Live analysis

464,004

464,004 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.).

464,004 (four hundred sixty-four thousand four) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 12,889. Its proper divisors sum to 708,986, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71484.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

463,992 463,993 463,994 463,995 463,996 463,997 463,998 463,999 464,000 464,001 464,002 464,003 464,004 464,005 464,006 464,007 464,008 464,009 464,010 464,011 464,012 464,013 464,014 464,015 464,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 400,464
Square (n²): 215,299,712,016
Cube (n³): 99,899,927,574,272,064
Divisor count: 18
σ(n) — sum of divisors: 1,172,990
φ(n) — Euler's totient: 154,656
Sum of prime factors: 12,899

Primality

Prime factorization: 2 ² × 3 ² × 12889

Nearest primes: 464,003 (−1) · 464,011 (+7)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 12889 · 25778 · 38667 · 51556 · 77334 · 116001 · 154668 · 232002 (half) · 464004

Aliquot sum (sum of proper divisors): 708,986

Factor pairs (a × b = 464,004)

1 × 464004

2 × 232002

3 × 154668

4 × 116001

6 × 77334

9 × 51556

12 × 38667

18 × 25778

36 × 12889

First multiples

464,004 · 928,008 (double) · 1,392,012 · 1,856,016 · 2,320,020 · 2,784,024 · 3,248,028 · 3,712,032 · 4,176,036 · 4,640,040

Sums & aliquot sequence

As a sum of two squares: 210² + 648²

As consecutive integers: 154,667 + 154,668 + 154,669 57,997 + 57,998 + … + 58,004 51,552 + 51,553 + … + 51,560 19,322 + 19,323 + … + 19,345

Aliquot sequence: 464,004 → 708,986 → 367,558 → 198,794 → 99,400 → 168,440 → 210,640 → 279,284 → 209,470 → 167,594 → 119,734 → 61,634 → 30,820 → 37,724 → 28,300 → 33,328 → 31,276 — unresolved within range

Continued fraction of √n

√464,004 = [681; (5, 1, 1, 1, 1, 6, 2, 4, 1, 2, 11, 2, 1, 1, 3, 5, 22, 1, 9, 7, 2, 2, 1, 8, …)]

Representations

In words: four hundred sixty-four thousand four
Ordinal: 464004th
Binary: 1110001010010000100
Octal: 1612204
Hexadecimal: 0x71484
Base64: BxSE
One's complement: 4,294,503,291 (32-bit)
Scientific notation: 4.64004 × 10⁵
As a duration: 464,004 s = 5 days, 8 hours, 53 minutes, 24 seconds

In other bases

ternary (3) 212120111100

quaternary (4) 1301102010

quinary (5) 104322004

senary (6) 13540100

septenary (7) 3641532

nonary (9) 776440

undecimal (11) 297682

duodecimal (12) 1a4630

tridecimal (13) 133278

tetradecimal (14) c1152

pentadecimal (15) 92739

As an angle

464,004° = 1,288 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υξδδʹ
Chinese: 四十六萬四千零四
Chinese (financial): 肆拾陸萬肆仟零肆

In other modern scripts

Eastern Arabic ٤٦٤٠٠٤ Devanagari ४६४००४ Bengali ৪৬৪০০৪ Tamil ௪௬௪௦௦௪ Thai ๔๖๔๐๐๔ Tibetan ༤༦༤༠༠༤ Khmer ៤៦៤០០៤ Lao ໔໖໔໐໐໔ Burmese ၄၆၄၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464004, here are decompositions:

11 + 463993 = 464004
17 + 463987 = 464004
31 + 463973 = 464004
41 + 463963 = 464004
83 + 463921 = 464004
97 + 463907 = 464004
113 + 463891 = 464004
131 + 463873 = 464004

Showing the first eight; more decompositions exist.

Hex color

#071484

RGB(7, 20, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.20.132.

Address: 0.7.20.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.20.132

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 464,004 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 US464,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 464004 first appears in π at position 79,091 of the decimal expansion (the 79,091ordinal-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 464004 on Pi Search ↗