Live analysis

104,004

104,004 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.).

104,004 (one hundred four thousand four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3⁵ × 107. Its proper divisors sum to 171,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19644.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

103,992 103,993 103,994 103,995 103,996 103,997 103,998 103,999 104,000 104,001 104,002 104,003 104,004 104,005 104,006 104,007 104,008 104,009 104,010 104,011 104,012 104,013 104,014 104,015 104,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 400,401
Recamán's sequence: a(94,095) = 104,004
Square (n²): 10,816,832,016
Cube (n³): 1,124,993,796,992,064
Divisor count: 36
σ(n) — sum of divisors: 275,184
φ(n) — Euler's totient: 34,344
Sum of prime factors: 126

Primality

Prime factorization: 2 ² × 3 ⁵ × 107

Nearest primes: 104,003 (−1) · 104,009 (+5)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 81 · 107 · 108 · 162 · 214 · 243 · 321 · 324 · 428 · 486 · 642 · 963 · 972 · 1284 · 1926 · 2889 · 3852 · 5778 · 8667 · 11556 · 17334 · 26001 · 34668 · 52002 (half) · 104004

Aliquot sum (sum of proper divisors): 171,180

Factor pairs (a × b = 104,004)

1 × 104004

2 × 52002

3 × 34668

4 × 26001

6 × 17334

9 × 11556

12 × 8667

18 × 5778

27 × 3852

36 × 2889

54 × 1926

81 × 1284

107 × 972

108 × 963

162 × 642

214 × 486

243 × 428

321 × 324

First multiples

104,004 · 208,008 (double) · 312,012 · 416,016 · 520,020 · 624,024 · 728,028 · 832,032 · 936,036 · 1,040,040

Sums & aliquot sequence

As consecutive integers: 34,667 + 34,668 + 34,669 12,997 + 12,998 + … + 13,004 11,552 + 11,553 + … + 11,560 4,322 + 4,323 + … + 4,345

Aliquot sequence: 104,004 → 171,180 → 363,060 → 738,768 → 1,169,840 → 1,940,080 → 2,570,792 → 3,131,608 → 2,740,172 → 2,068,828 → 1,551,628 → 1,433,060 → 1,617,820 → 1,928,324 → 1,555,324 → 1,224,740 → 1,738,780 — unresolved within range

Continued fraction of √n

√104,004 = [322; (2, 71, 6, 71, 2, 644)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one hundred four thousand four
Ordinal: 104004th
Binary: 11001011001000100
Octal: 313104
Hexadecimal: 0x19644
Base64: AZZE
One's complement: 4,294,863,291 (32-bit)
Scientific notation: 1.04004 × 10⁵
As a duration: 104,004 s = 1 day, 4 hours, 53 minutes, 24 seconds

In other bases

ternary (3) 12021200000

quaternary (4) 121121010

quinary (5) 11312004

senary (6) 2121300

septenary (7) 612135

nonary (9) 167600

undecimal (11) 7115a

duodecimal (12) 50230

tridecimal (13) 38454

tetradecimal (14) 29c8c

pentadecimal (15) 20c39

As an angle

104,004° = 288 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρδδʹ
Mayan (base 20): 𝋭·𝋠·𝋠·𝋤
Chinese: 一十萬四千零四
Chinese (financial): 壹拾萬肆仟零肆

In other modern scripts

Eastern Arabic ١٠٤٠٠٤ Devanagari १०४००४ Bengali ১০৪০০৪ Tamil ௧௦௪௦௦௪ Thai ๑๐๔๐๐๔ Tibetan ༡༠༤༠༠༤ Khmer ១០៤០០៤ Lao ໑໐໔໐໐໔ Burmese ၁၀၄၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104004, here are decompositions:

7 + 103997 = 104004
11 + 103993 = 104004
13 + 103991 = 104004
23 + 103981 = 104004
37 + 103967 = 104004
41 + 103963 = 104004
53 + 103951 = 104004
101 + 103903 = 104004

Showing the first eight; more decompositions exist.

Hex color

#019644

RGB(1, 150, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.68.

Address: 0.1.150.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.150.68

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 104,004 and was likely granted around 1870.

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

Look up US104,004 on Google Patents ↗ Look up on USPTO ↗