Live analysis

104,002

104,002 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.).

104,002 (one hundred four thousand two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 149 × 349. Written other ways, in hexadecimal, 0x19642.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

103,990 103,991 103,992 103,993 103,994 103,995 103,996 103,997 103,998 103,999 104,000 104,001 104,002 104,003 104,004 104,005 104,006 104,007 104,008 104,009 104,010 104,011 104,012 104,013 104,014

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 17 bits
Reversed: 200,401
Recamán's sequence: a(94,099) = 104,002
Square (n²): 10,816,416,004
Cube (n³): 1,124,928,897,248,008
Divisor count: 8
σ(n) — sum of divisors: 157,500
φ(n) — Euler's totient: 51,504
Sum of prime factors: 500

Primality

Prime factorization: 2 × 149 × 349

Nearest primes: 103,997 (−5) · 104,003 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 149 · 298 · 349 · 698 · 52001 (half) · 104002

Aliquot sum (sum of proper divisors): 53,498

Factor pairs (a × b = 104,002)

1 × 104002

2 × 52001

149 × 698

298 × 349

First multiples

104,002 · 208,004 (double) · 312,006 · 416,008 · 520,010 · 624,012 · 728,014 · 832,016 · 936,018 · 1,040,020

Sums & aliquot sequence

As a sum of two squares: 31² + 321² = 139² + 291²

As consecutive integers: 25,999 + 26,000 + 26,001 + 26,002 624 + 625 + … + 772 124 + 125 + … + 472

Aliquot sequence: 104,002 → 53,498 → 30,310 → 32,186 → 31,654 → 29,906 → 17,374 → 14,594 → 7,300 → 8,758 → 4,922 → 2,854 → 1,430 → 1,594 → 800 → 1,153 → 1 — unresolved within range

Continued fraction of √n

√104,002 = [322; (2, 37, 2, 3, 1, 2, 1, 1, 2, 71, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 8, 4, 2, 2, …)]

Period length 59 — the block in parentheses repeats forever.

Representations

In words: one hundred four thousand two
Ordinal: 104002nd
Binary: 11001011001000010
Octal: 313102
Hexadecimal: 0x19642
Base64: AZZC
One's complement: 4,294,863,293 (32-bit)
Scientific notation: 1.04002 × 10⁵
As a duration: 104,002 s = 1 day, 4 hours, 53 minutes, 22 seconds

In other bases

ternary (3) 12021122221

quaternary (4) 121121002

quinary (5) 11312002

senary (6) 2121254

septenary (7) 612133

nonary (9) 167587

undecimal (11) 71158

duodecimal (12) 5022a

tridecimal (13) 38452

tetradecimal (14) 29c8a

pentadecimal (15) 20c37

As an angle

104,002° = 288 × 360° + 322°

322° ≈ 5.62 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓏺𓏺
Greek (Milesian): ͵ρδβʹ
Mayan (base 20): 𝋭·𝋠·𝋠·𝋢
Chinese: 一十萬四千零二
Chinese (financial): 壹拾萬肆仟零貳

In other modern scripts

Eastern Arabic ١٠٤٠٠٢ Devanagari १०४००२ Bengali ১০৪০০২ Tamil ௧௦௪௦௦௨ Thai ๑๐๔๐๐๒ Tibetan ༡༠༤༠༠༢ Khmer ១០៤០០២ Lao ໑໐໔໐໐໒ Burmese ၁၀၄၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104002, here are decompositions:

5 + 103997 = 104002
11 + 103991 = 104002
23 + 103979 = 104002
83 + 103919 = 104002
89 + 103913 = 104002
113 + 103889 = 104002
191 + 103811 = 104002
233 + 103769 = 104002

Showing the first eight; more decompositions exist.

Hex color

#019642

RGB(1, 150, 66)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.66.

Address: 0.1.150.66
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.150.66

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 104,002 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 US104,002 on Google Patents ↗ Look up on USPTO ↗