Live analysis

107,004

107,004 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.).

107,004 (one hundred seven thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 37 × 241. Its proper divisors sum to 150,484, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A1FC.

Abundant Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

106,992 106,993 106,994 106,995 106,996 106,997 106,998 106,999 107,000 107,001 107,002 107,003 107,004 107,005 107,006 107,007 107,008 107,009 107,010 107,011 107,012 107,013 107,014 107,015 107,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 400,701
Recamán's sequence: a(81,247) = 107,004
Square (n²): 11,449,856,016
Cube (n³): 1,225,180,393,136,064
Divisor count: 24
σ(n) — sum of divisors: 257,488
φ(n) — Euler's totient: 34,560
Sum of prime factors: 285

Primality

Prime factorization: 2 ² × 3 × 37 × 241

Nearest primes: 106,993 (−11) · 107,021 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 37 · 74 · 111 · 148 · 222 · 241 · 444 · 482 · 723 · 964 · 1446 · 2892 · 8917 · 17834 · 26751 · 35668 · 53502 (half) · 107004

Aliquot sum (sum of proper divisors): 150,484

Factor pairs (a × b = 107,004)

1 × 107004

2 × 53502

3 × 35668

4 × 26751

6 × 17834

12 × 8917

37 × 2892

74 × 1446

111 × 964

148 × 723

222 × 482

241 × 444

First multiples

107,004 · 214,008 (double) · 321,012 · 428,016 · 535,020 · 642,024 · 749,028 · 856,032 · 963,036 · 1,070,040

Sums & aliquot sequence

As consecutive integers: 35,667 + 35,668 + 35,669 13,372 + 13,373 + … + 13,379 4,447 + 4,448 + … + 4,470 2,874 + 2,875 + … + 2,910

Aliquot sequence: 107,004 → 150,484 → 128,480 → 207,184 → 212,432 → 269,680 → 357,512 → 376,888 → 329,792 → 324,766 → 199,898 → 102,694 → 51,350 → 52,810 → 42,266 → 30,214 → 15,110 — unresolved within range

Continued fraction of √n

√107,004 = [327; (8, 1, 2, 1, 1, 2, 4, 16, 7, 1, 4, 1, 1, 2, 1, 3, 1, 3, 1, 5, 1, 3, 54, 3, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one hundred seven thousand four
Ordinal: 107004th
Binary: 11010000111111100
Octal: 320774
Hexadecimal: 0x1A1FC
Base64: AaH8
One's complement: 4,294,860,291 (32-bit)
Scientific notation: 1.07004 × 10⁵
As a duration: 107,004 s = 1 day, 5 hours, 43 minutes, 24 seconds

In other bases

ternary (3) 12102210010

quaternary (4) 122013330

quinary (5) 11411004

senary (6) 2143220

septenary (7) 623652

nonary (9) 172703

undecimal (11) 73437

duodecimal (12) 51b10

tridecimal (13) 39921

tetradecimal (14) 2add2

pentadecimal (15) 21a89

Palindromic in base 11

As an angle

107,004° = 297 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρζδʹ
Mayan (base 20): 𝋭·𝋧·𝋪·𝋤
Chinese: 十萬七千零四
Chinese (financial): 壹拾萬柒仟零肆

In other modern scripts

Eastern Arabic ١٠٧٠٠٤ Devanagari १०७००४ Bengali ১০৭০০৪ Tamil ௧௦௭௦௦௪ Thai ๑๐๗๐๐๔ Tibetan ༡༠༧༠༠༤ Khmer ១០៧០០៤ Lao ໑໐໗໐໐໔ Burmese ၁၀၇၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107004, here are decompositions:

11 + 106993 = 107004
41 + 106963 = 107004
43 + 106961 = 107004
47 + 106957 = 107004
67 + 106937 = 107004
83 + 106921 = 107004
97 + 106907 = 107004
101 + 106903 = 107004

Showing the first eight; more decompositions exist.

Hex color

#01A1FC

RGB(1, 161, 252)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.252.

Address: 0.1.161.252
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.161.252

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 107,004 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 US107,004 on Google Patents ↗ Look up on USPTO ↗