Live analysis

110,004

110,004 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.).

110,004 (one hundred ten thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 89 × 103. Its proper divisors sum to 152,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1ADB4.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

109,992 109,993 109,994 109,995 109,996 109,997 109,998 109,999 110,000 110,001 110,002 110,003 110,004 110,005 110,006 110,007 110,008 110,009 110,010 110,011 110,012 110,013 110,014 110,015 110,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 400,011
Recamán's sequence: a(249,288) = 110,004
Square (n²): 12,100,880,016
Cube (n³): 1,331,145,205,280,064
Divisor count: 24
σ(n) — sum of divisors: 262,080
φ(n) — Euler's totient: 35,904
Sum of prime factors: 199

Primality

Prime factorization: 2 ² × 3 × 89 × 103

Nearest primes: 109,987 (−17) · 110,017 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 89 · 103 · 178 · 206 · 267 · 309 · 356 · 412 · 534 · 618 · 1068 · 1236 · 9167 · 18334 · 27501 · 36668 · 55002 (half) · 110004

Aliquot sum (sum of proper divisors): 152,076

Factor pairs (a × b = 110,004)

1 × 110004

2 × 55002

3 × 36668

4 × 27501

6 × 18334

12 × 9167

89 × 1236

103 × 1068

178 × 618

206 × 534

267 × 412

309 × 356

First multiples

110,004 · 220,008 (double) · 330,012 · 440,016 · 550,020 · 660,024 · 770,028 · 880,032 · 990,036 · 1,100,040

Sums & aliquot sequence

As consecutive integers: 36,667 + 36,668 + 36,669 13,747 + 13,748 + … + 13,754 4,572 + 4,573 + … + 4,595 1,192 + 1,193 + … + 1,280

Aliquot sequence: 110,004 → 152,076 → 251,124 → 369,804 → 493,100 → 577,144 → 562,256 → 527,146 → 263,576 → 241,864 → 286,526 → 143,266 → 71,636 → 53,734 → 28,274 → 14,974 → 7,490 — unresolved within range

Continued fraction of √n

√110,004 = [331; (1, 2, 59, 1, 32, 5, 2, 4, 1, 2, 5, 26, 2, 1, 7, 1, 1, 1, 1, 1, 3, 6, 1, 5, …)]

Representations

In words: one hundred ten thousand four
Ordinal: 110004th
Binary: 11010110110110100
Octal: 326664
Hexadecimal: 0x1ADB4
Base64: Aa20
One's complement: 4,294,857,291 (32-bit)
Scientific notation: 1.10004 × 10⁵
As a duration: 110,004 s = 1 day, 6 hours, 33 minutes, 24 seconds

In other bases

ternary (3) 12120220020

quaternary (4) 122312310

quinary (5) 12010004

senary (6) 2205140

septenary (7) 635466

nonary (9) 176806

undecimal (11) 75714

duodecimal (12) 537b0

tridecimal (13) 3b0bb

tetradecimal (14) 2c136

pentadecimal (15) 228d9

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριδʹ
Mayan (base 20): 𝋭·𝋯·𝋠·𝋤
Chinese: 一十一萬零四
Chinese (financial): 壹拾壹萬零肆

In other modern scripts

Eastern Arabic ١١٠٠٠٤ Devanagari ११०००४ Bengali ১১০০০৪ Tamil ௧௧௦௦௦௪ Thai ๑๑๐๐๐๔ Tibetan ༡༡༠༠༠༤ Khmer ១១០០០៤ Lao ໑໑໐໐໐໔ Burmese ၁၁၀၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110004, here are decompositions:

17 + 109987 = 110004
43 + 109961 = 110004
61 + 109943 = 110004
67 + 109937 = 110004
101 + 109903 = 110004
107 + 109897 = 110004
113 + 109891 = 110004
131 + 109873 = 110004

Showing the first eight; more decompositions exist.

Hex color

#01ADB4

RGB(1, 173, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.173.180.

Address: 0.1.173.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.173.180

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 110,004 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 US110,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 110004 first appears in π at position 262,621 of the decimal expansion (the 262,621ordinal-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 110004 on Pi Search ↗