Live analysis

113,000

113,000 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.).

113,000 (one hundred thirteen thousand) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 113. Its proper divisors sum to 153,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B968.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

112,988 112,989 112,990 112,991 112,992 112,993 112,994 112,995 112,996 112,997 112,998 112,999 113,000 113,001 113,002 113,003 113,004 113,005 113,006 113,007 113,008 113,009 113,010 113,011 113,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 311
Square (n²): 12,769,000,000
Cube (n³): 1,442,897,000,000,000
Divisor count: 32
σ(n) — sum of divisors: 266,760
φ(n) — Euler's totient: 44,800
Sum of prime factors: 134

Primality

Prime factorization: 2 ³ × 5 ³ × 113

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

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 113 · 125 · 200 · 226 · 250 · 452 · 500 · 565 · 904 · 1000 · 1130 · 2260 · 2825 · 4520 · 5650 · 11300 · 14125 · 22600 · 28250 · 56500 (half) · 113000

Aliquot sum (sum of proper divisors): 153,760

Factor pairs (a × b = 113,000)

1 × 113000

2 × 56500

4 × 28250

5 × 22600

8 × 14125

10 × 11300

20 × 5650

25 × 4520

40 × 2825

50 × 2260

100 × 1130

113 × 1000

125 × 904

200 × 565

226 × 500

250 × 452

First multiples

113,000 · 226,000 (double) · 339,000 · 452,000 · 565,000 · 678,000 · 791,000 · 904,000 · 1,017,000 · 1,130,000

Sums & aliquot sequence

As a sum of two squares: 38² + 334² = 82² + 326² = 130² + 310² = 170² + 290²

As consecutive integers: 22,598 + 22,599 + 22,600 + 22,601 + 22,602 7,055 + 7,056 + … + 7,070 4,508 + 4,509 + … + 4,532 1,373 + 1,374 + … + 1,452

Aliquot sequence: 113,000 → 153,760 → 221,594 → 114,394 → 81,734 → 40,870 → 35,018 → 17,512 → 18,488 → 16,192 → 20,384 → 29,890 → 33,722 → 20,794 → 11,354 → 8,134 → 6,230 — unresolved within range

Continued fraction of √n

√113,000 = [336; (6, 2, 6, 3, 1, 4, 1, 1, 1, 26, 4, 16, 6, 1, 1, 1, 21, 26, 1, 5, 1, 1, 167, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand
Ordinal: 113000th
Binary: 11011100101101000
Octal: 334550
Hexadecimal: 0x1B968
Base64: Ablo
One's complement: 4,294,854,295 (32-bit)
Scientific notation: 1.13 × 10⁵
As a duration: 113,000 s = 1 day, 7 hours, 23 minutes, 20 seconds

In other bases

ternary (3) 12202000012

quaternary (4) 123211220

quinary (5) 12104000

senary (6) 2231052

septenary (7) 650306

nonary (9) 182005

undecimal (11) 77998

duodecimal (12) 55488

tridecimal (13) 3c584

tetradecimal (14) 2d276

pentadecimal (15) 23735

As an angle

113,000° = 313 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼
Greek (Milesian): ͵ριγ
Mayan (base 20): 𝋮·𝋢·𝋪·𝋠
Chinese: 一十一萬三千
Chinese (financial): 壹拾壹萬參仟

In other modern scripts

Eastern Arabic ١١٣٠٠٠ Devanagari ११३००० Bengali ১১৩০০০ Tamil ௧௧௩௦௦௦ Thai ๑๑๓๐๐๐ Tibetan ༡༡༣༠༠༠ Khmer ១១៣០០០ Lao ໑໑໓໐໐໐ Burmese ၁၁၃၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113000, here are decompositions:

3 + 112997 = 113000
61 + 112939 = 113000
73 + 112927 = 113000
79 + 112921 = 113000
157 + 112843 = 113000
193 + 112807 = 113000
229 + 112771 = 113000
241 + 112759 = 113000

Showing the first eight; more decompositions exist.

Hex color

#01B968

RGB(1, 185, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.104.

Address: 0.1.185.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.185.104

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 113,000 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 US113,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 113000 first appears in π at position 828,403 of the decimal expansion (the 828,403ordinal-suffix:rd 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 113000 on Pi Search ↗