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112,967

112,967 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.).

112,967 (one hundred twelve thousand nine hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B947.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
756
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
769,211
Square (n²)
12,761,543,089
Cube (n³)
1,441,633,238,135,063
Divisor count
2
σ(n) — sum of divisors
112,968
φ(n) — Euler's totient
112,966

Primality

112,967 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112967
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,967)
1 × 112967
First multiples
112,967 · 225,934 (double) · 338,901 · 451,868 · 564,835 · 677,802 · 790,769 · 903,736 · 1,016,703 · 1,129,670

Sums & aliquot sequence

As consecutive integers: 56,483 + 56,484

Continued fraction of √n

√112,967 = [336; (9, 2, 6, 1, 10, 1, 1, 8, 1, 2, 5, 3, 3, 2, 1, 1, 1, 2, 1, 2, 3, 6, 1, 1, …)]

Representations

In words
one hundred twelve thousand nine hundred sixty-seven
Ordinal
112967th
Binary
11011100101000111
Octal
334507
Hexadecimal
0x1B947
Base64
AblH
One's complement
4,294,854,328 (32-bit)
Scientific notation
1.12967 × 10⁵
As a duration
112,967 s = 1 day, 7 hours, 22 minutes, 47 seconds
In other bases
ternary (3) 12201221222
quaternary (4) 123211013
quinary (5) 12103332
senary (6) 2230555
septenary (7) 650231
nonary (9) 181858
undecimal (11) 77968
duodecimal (12) 5545b
tridecimal (13) 3c55a
tetradecimal (14) 2d251
pentadecimal (15) 23712

As an angle

112,967° = 313 × 360° + 287°
287° ≈ 5.009 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβϡξζʹ
Mayan (base 20)
𝋮·𝋢·𝋨·𝋧
Chinese
一十一萬二千九百六十七
Chinese (financial)
壹拾壹萬貳仟玖佰陸拾柒
In other modern scripts
Eastern Arabic ١١٢٩٦٧ Devanagari ११२९६७ Bengali ১১২৯৬৭ Tamil ௧௧௨௯௬௭ Thai ๑๑๒๙๖๗ Tibetan ༡༡༢༩༦༧ Khmer ១១២៩៦៧ Lao ໑໑໒໙໖໗ Burmese ၁၁၂၉၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B947
RGB(1, 185, 71)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.71.

Address
0.1.185.71
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.71

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 112,967 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 112967 first appears in π at position 778,212 of the decimal expansion (the 778,212ordinal-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.