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112,997

112,997 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.).

112,997 (one hundred twelve thousand nine hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B965.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
1,134
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
799,211
Square (n²)
12,768,322,009
Cube (n³)
1,442,782,082,050,973
Divisor count
2
σ(n) — sum of divisors
112,998
φ(n) — Euler's totient
112,996

Primality

112,997 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112997
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,997)
1 × 112997
First multiples
112,997 · 225,994 (double) · 338,991 · 451,988 · 564,985 · 677,982 · 790,979 · 903,976 · 1,016,973 · 1,129,970

Sums & aliquot sequence

As a sum of two squares: 106² + 319²
As consecutive integers: 56,498 + 56,499

Continued fraction of √n

√112,997 = [336; (6, 1, 1, 1, 8, 1, 4, 1, 1, 9, 2, 1, 14, 1, 22, 4, 17, 1, 11, 1, 60, 5, 8, 1, …)]

Representations

In words
one hundred twelve thousand nine hundred ninety-seven
Ordinal
112997th
Binary
11011100101100101
Octal
334545
Hexadecimal
0x1B965
Base64
Abll
One's complement
4,294,854,298 (32-bit)
Scientific notation
1.12997 × 10⁵
As a duration
112,997 s = 1 day, 7 hours, 23 minutes, 17 seconds
In other bases
ternary (3) 12202000002
quaternary (4) 123211211
quinary (5) 12103442
senary (6) 2231045
septenary (7) 650303
nonary (9) 182002
undecimal (11) 77995
duodecimal (12) 55485
tridecimal (13) 3c581
tetradecimal (14) 2d273
pentadecimal (15) 23732
Palindromic in base 15

As an angle

112,997° = 313 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβϡϟζʹ
Mayan (base 20)
𝋮·𝋢·𝋩·𝋱
Chinese
一十一萬二千九百九十七
Chinese (financial)
壹拾壹萬貳仟玖佰玖拾柒
In other modern scripts
Eastern Arabic ١١٢٩٩٧ Devanagari ११२९९७ Bengali ১১২৯৯৭ Tamil ௧௧௨௯௯௭ Thai ๑๑๒๙๙๗ Tibetan ༡༡༢༩༩༧ Khmer ១១២៩៩៧ Lao ໑໑໒໙໙໗ Burmese ၁၁၂၉၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B965
RGB(1, 185, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.101.

Address
0.1.185.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.101

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 112,997 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 112997 first appears in π at position 35,337 of the decimal expansion (the 35,337ordinal-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.