Live analysis

109,004

109,004 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.).

109,004 (one hundred nine thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 17 × 229. Its proper divisors sum to 122,836, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A9CC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

108,992 108,993 108,994 108,995 108,996 108,997 108,998 108,999 109,000 109,001 109,002 109,003 109,004 109,005 109,006 109,007 109,008 109,009 109,010 109,011 109,012 109,013 109,014 109,015 109,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 400,901
Square (n²): 11,881,872,016
Cube (n³): 1,295,171,577,232,064
Divisor count: 24
σ(n) — sum of divisors: 231,840
φ(n) — Euler's totient: 43,776
Sum of prime factors: 257

Primality

Prime factorization: 2 ² × 7 × 17 × 229

Nearest primes: 109,001 (−3) · 109,013 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 17 · 28 · 34 · 68 · 119 · 229 · 238 · 458 · 476 · 916 · 1603 · 3206 · 3893 · 6412 · 7786 · 15572 · 27251 · 54502 (half) · 109004

Aliquot sum (sum of proper divisors): 122,836

Factor pairs (a × b = 109,004)

1 × 109004

2 × 54502

4 × 27251

7 × 15572

14 × 7786

17 × 6412

28 × 3893

34 × 3206

68 × 1603

119 × 916

229 × 476

238 × 458

First multiples

109,004 · 218,008 (double) · 327,012 · 436,016 · 545,020 · 654,024 · 763,028 · 872,032 · 981,036 · 1,090,040

Sums & aliquot sequence

As consecutive integers: 15,569 + 15,570 + … + 15,575 13,622 + 13,623 + … + 13,629 6,404 + 6,405 + … + 6,420 1,919 + 1,920 + … + 1,974

Aliquot sequence: 109,004 → 122,836 → 131,180 → 183,988 → 184,044 → 317,100 → 738,388 → 738,444 → 1,277,556 → 2,195,340 → 4,831,092 → 9,874,508 → 9,874,564 → 10,149,244 → 10,149,300 → 27,660,780 → 71,667,540 — unresolved within range

Continued fraction of √n

√109,004 = [330; (6, 2, 1, 7, 11, 1, 7, 26, 3, 2, 34, 3, 11, 1, 2, 12, 8, 1, 1, 1, 1, 4, 1, 5, …)]

Representations

In words: one hundred nine thousand four
Ordinal: 109004th
Binary: 11010100111001100
Octal: 324714
Hexadecimal: 0x1A9CC
Base64: AanM
One's complement: 4,294,858,291 (32-bit)
Scientific notation: 1.09004 × 10⁵
As a duration: 109,004 s = 1 day, 6 hours, 16 minutes, 44 seconds

In other bases

ternary (3) 12112112012

quaternary (4) 122213030

quinary (5) 11442004

senary (6) 2200352

septenary (7) 632540

nonary (9) 175465

undecimal (11) 74995

duodecimal (12) 530b8

tridecimal (13) 3a7cc

tetradecimal (14) 2ba20

pentadecimal (15) 2246e

As an angle

109,004° = 302 × 360° + 284°

284° ≈ 4.957 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρθδʹ
Mayan (base 20): 𝋭·𝋬·𝋪·𝋤
Chinese: 十萬九千零四
Chinese (financial): 壹拾萬玖仟零肆

In other modern scripts

Eastern Arabic ١٠٩٠٠٤ Devanagari १०९००४ Bengali ১০৯০০৪ Tamil ௧௦௯௦௦௪ Thai ๑๐๙๐๐๔ Tibetan ༡༠༩༠༠༤ Khmer ១០៩០០៤ Lao ໑໐໙໐໐໔ Burmese ၁၀၉၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 109004, here are decompositions:

3 + 109001 = 109004
13 + 108991 = 109004
37 + 108967 = 109004
43 + 108961 = 109004
61 + 108943 = 109004
97 + 108907 = 109004
127 + 108877 = 109004
211 + 108793 = 109004

Showing the first eight; more decompositions exist.

Hex color

#01A9CC

RGB(1, 169, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.204.

Address: 0.1.169.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.169.204

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 109,004 and was likely granted around 1871.

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

Look up US109,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 109004 first appears in π at position 31,839 of the decimal expansion (the 31,839ordinal-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 109004 on Pi Search ↗