Live analysis

113,008

113,008 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.).

113,008 (one hundred thirteen thousand eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 1,009. Its proper divisors sum to 137,472, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B970.

Abundant Number Arithmetic Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

112,996 112,997 112,998 112,999 113,000 113,001 113,002 113,003 113,004 113,005 113,006 113,007 113,008 113,009 113,010 113,011 113,012 113,013 113,014 113,015 113,016 113,017 113,018 113,019 113,020

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 800,311
Square (n²): 12,770,808,064
Cube (n³): 1,443,203,477,696,512
Divisor count: 20
σ(n) — sum of divisors: 250,480
φ(n) — Euler's totient: 48,384
Sum of prime factors: 1,024

Primality

Prime factorization: 2 ⁴ × 7 × 1009

Nearest primes: 112,997 (−11) · 113,011 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 1009 · 2018 · 4036 · 7063 · 8072 · 14126 · 16144 · 28252 · 56504 (half) · 113008

Aliquot sum (sum of proper divisors): 137,472

Factor pairs (a × b = 113,008)

1 × 113008

2 × 56504

4 × 28252

7 × 16144

8 × 14126

14 × 8072

16 × 7063

28 × 4036

56 × 2018

112 × 1009

First multiples

113,008 · 226,016 (double) · 339,024 · 452,032 · 565,040 · 678,048 · 791,056 · 904,064 · 1,017,072 · 1,130,080

Sums & aliquot sequence

As consecutive integers: 16,141 + 16,142 + … + 16,147 3,516 + 3,517 + … + 3,547 393 + 394 + … + 616

Aliquot sequence: 113,008 → 137,472 → 230,448 → 365,000 → 501,910 → 419,546 → 217,114 → 108,560 → 159,280 → 246,944 → 239,290 → 191,450 → 216,262 → 108,134 → 66,586 → 42,116 → 31,594 — unresolved within range

Continued fraction of √n

√113,008 = [336; (6, 672)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand eight
Ordinal: 113008th
Binary: 11011100101110000
Octal: 334560
Hexadecimal: 0x1B970
Base64: Ablw
One's complement: 4,294,854,287 (32-bit)
Scientific notation: 1.13008 × 10⁵
As a duration: 113,008 s = 1 day, 7 hours, 23 minutes, 28 seconds

In other bases

ternary (3) 12202000111

quaternary (4) 123211300

quinary (5) 12104013

senary (6) 2231104

septenary (7) 650320

nonary (9) 182014

undecimal (11) 779a5

duodecimal (12) 55494

tridecimal (13) 3c58c

tetradecimal (14) 2d280

pentadecimal (15) 2373d

As an angle

113,008° = 313 × 360° + 328°

328° ≈ 5.725 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριγηʹ
Mayan (base 20): 𝋮·𝋢·𝋪·𝋨
Chinese: 一十一萬三千零八
Chinese (financial): 壹拾壹萬參仟零捌

In other modern scripts

Eastern Arabic ١١٣٠٠٨ Devanagari ११३००८ Bengali ১১৩০০৮ Tamil ௧௧௩௦௦௮ Thai ๑๑๓๐๐๘ Tibetan ༡༡༣༠༠༨ Khmer ១១៣០០៨ Lao ໑໑໓໐໐໘ Burmese ၁၁၃၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113008, here are decompositions:

11 + 112997 = 113008
29 + 112979 = 113008
41 + 112967 = 113008
89 + 112919 = 113008
107 + 112901 = 113008
131 + 112877 = 113008
149 + 112859 = 113008
251 + 112757 = 113008

Showing the first eight; more decompositions exist.

Hex color

#01B970

RGB(1, 185, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.112.

Address: 0.1.185.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.185.112

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 113,008 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 US113,008 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 113008 first appears in π at position 277,135 of the decimal expansion (the 277,135ordinal-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 113008 on Pi Search ↗