number.wiki
Live analysis

113,357

113,357 is a prime, odd.

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.).

113,357 (one hundred thirteen thousand three hundred fifty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BACD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
315
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
753,311
Recamán's sequence
a(68,121) = 113,357
Square (n²)
12,849,809,449
Cube (n³)
1,456,615,849,710,293
Divisor count
2
σ(n) — sum of divisors
113,358
φ(n) — Euler's totient
113,356

Primality

113,357 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113357
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,357)
1 × 113357
First multiples
113,357 · 226,714 (double) · 340,071 · 453,428 · 566,785 · 680,142 · 793,499 · 906,856 · 1,020,213 · 1,133,570

Sums & aliquot sequence

As a sum of two squares: 221² + 254²
As consecutive integers: 56,678 + 56,679

Continued fraction of √n

√113,357 = [336; (1, 2, 5, 1, 1, 1, 2, 28, 1, 8, 1, 14, 1, 3, 5, 1, 12, 9, 6, 1, 4, 1, 17, 2, …)]

Period length 53 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand three hundred fifty-seven
Ordinal
113357th
Binary
11011101011001101
Octal
335315
Hexadecimal
0x1BACD
Base64
AbrN
One's complement
4,294,853,938 (32-bit)
Scientific notation
1.13357 × 10⁵
As a duration
113,357 s = 1 day, 7 hours, 29 minutes, 17 seconds
In other bases
ternary (3) 12202111102
quaternary (4) 123223031
quinary (5) 12111412
senary (6) 2232445
septenary (7) 651326
nonary (9) 182442
undecimal (11) 78192
duodecimal (12) 55725
tridecimal (13) 3c79a
tetradecimal (14) 2d44d
pentadecimal (15) 238c2

As an angle

113,357° = 314 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγτνζʹ
Mayan (base 20)
𝋮·𝋣·𝋧·𝋱
Chinese
一十一萬三千三百五十七
Chinese (financial)
壹拾壹萬參仟參佰伍拾柒
In other modern scripts
Eastern Arabic ١١٣٣٥٧ Devanagari ११३३५७ Bengali ১১৩৩৫৭ Tamil ௧௧௩௩௫௭ Thai ๑๑๓๓๕๗ Tibetan ༡༡༣༣༥༧ Khmer ១១៣៣៥៧ Lao ໑໑໓໓໕໗ Burmese ၁၁၃၃၅၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113359.

Hex color
#01BACD
RGB(1, 186, 205)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.205.

Address
0.1.186.205
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.205

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 113,357 and was likely granted around 1871.

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

Position in π

The digit sequence 113357 first appears in π at position 182,140 of the decimal expansion (the 182,140ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.