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113,983

113,983 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.).

113,983 (one hundred thirteen thousand nine hundred eighty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BD3F.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
648
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
389,311
Recamán's sequence
a(56,753) = 113,983
Square (n²)
12,992,124,289
Cube (n³)
1,480,881,302,833,087
Divisor count
2
σ(n) — sum of divisors
113,984
φ(n) — Euler's totient
113,982

Primality

113,983 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113983
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,983)
1 × 113983
First multiples
113,983 · 227,966 (double) · 341,949 · 455,932 · 569,915 · 683,898 · 797,881 · 911,864 · 1,025,847 · 1,139,830

Sums & aliquot sequence

As consecutive integers: 56,991 + 56,992

Continued fraction of √n

√113,983 = [337; (1, 1, 1, 1, 2, 3, 10, 2, 2, 1, 2, 1, 1, 1, 1, 2, 3, 2, 112, 9, 1, 3, 2, 15, …)]

Representations

In words
one hundred thirteen thousand nine hundred eighty-three
Ordinal
113983rd
Binary
11011110100111111
Octal
336477
Hexadecimal
0x1BD3F
Base64
Ab0/
One's complement
4,294,853,312 (32-bit)
Scientific notation
1.13983 × 10⁵
As a duration
113,983 s = 1 day, 7 hours, 39 minutes, 43 seconds
In other bases
ternary (3) 12210100121
quaternary (4) 123310333
quinary (5) 12121413
senary (6) 2235411
septenary (7) 653212
nonary (9) 183317
undecimal (11) 78701
duodecimal (12) 55b67
tridecimal (13) 3cb5c
tetradecimal (14) 2d779
pentadecimal (15) 23b8d

As an angle

113,983° = 316 × 360° + 223°
223° ≈ 3.892 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριγϡπγʹ
Mayan (base 20)
𝋮·𝋤·𝋳·𝋣
Chinese
一十一萬三千九百八十三
Chinese (financial)
壹拾壹萬參仟玖佰捌拾參
In other modern scripts
Eastern Arabic ١١٣٩٨٣ Devanagari ११३९८३ Bengali ১১৩৯৮৩ Tamil ௧௧௩௯௮௩ Thai ๑๑๓๙๘๓ Tibetan ༡༡༣༩༨༣ Khmer ១១៣៩៨៣ Lao ໑໑໓໙໘໓ Burmese ၁၁၃၉၈၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 113989.

Hex color
#01BD3F
RGB(1, 189, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.63.

Address
0.1.189.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.63

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 113,983 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 113983 first appears in π at position 649,903 of the decimal expansion (the 649,903ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.