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113,989

113,989 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.).

113,989 (one hundred thirteen thousand nine hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BD45.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
1,944
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
989,311
Recamán's sequence
a(56,765) = 113,989
Square (n²)
12,993,492,121
Cube (n³)
1,481,115,173,380,669
Divisor count
2
σ(n) — sum of divisors
113,990
φ(n) — Euler's totient
113,988

Primality

113,989 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113989
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,989)
1 × 113989
First multiples
113,989 · 227,978 (double) · 341,967 · 455,956 · 569,945 · 683,934 · 797,923 · 911,912 · 1,025,901 · 1,139,890

Sums & aliquot sequence

As a sum of two squares: 42² + 335²
As consecutive integers: 56,994 + 56,995

Continued fraction of √n

√113,989 = [337; (1, 1, 1, 1, 1, 5, 1, 4, 6, 1, 1, 4, 1, 9, 1, 8, 1, 7, 4, 4, 2, 1, 5, 1, …)]

Representations

In words
one hundred thirteen thousand nine hundred eighty-nine
Ordinal
113989th
Binary
11011110101000101
Octal
336505
Hexadecimal
0x1BD45
Base64
Ab1F
One's complement
4,294,853,306 (32-bit)
Scientific notation
1.13989 × 10⁵
As a duration
113,989 s = 1 day, 7 hours, 39 minutes, 49 seconds
In other bases
ternary (3) 12210100211
quaternary (4) 123311011
quinary (5) 12121424
senary (6) 2235421
septenary (7) 653221
nonary (9) 183324
undecimal (11) 78707
duodecimal (12) 55b71
tridecimal (13) 3cb65
tetradecimal (14) 2d781
pentadecimal (15) 23b94

As an angle

113,989° = 316 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγϡπθʹ
Mayan (base 20)
𝋮·𝋤·𝋳·𝋩
Chinese
一十一萬三千九百八十九
Chinese (financial)
壹拾壹萬參仟玖佰捌拾玖
In other modern scripts
Eastern Arabic ١١٣٩٨٩ Devanagari ११३९८९ Bengali ১১৩৯৮৯ Tamil ௧௧௩௯௮௯ Thai ๑๑๓๙๘๙ Tibetan ༡༡༣༩༨༩ Khmer ១១៣៩៨៩ Lao ໑໑໓໙໘໙ Burmese ၁၁၃၉၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 113983.

Hex color
#01BD45
RGB(1, 189, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.69.

Address
0.1.189.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.69

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 113,989 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 113989 first appears in π at position 30,099 of the decimal expansion (the 30,099ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.