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111,997

111,997 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.).

111,997 (one hundred eleven 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, 0x1B57D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
567
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
799,111
Recamán's sequence
a(50,825) = 111,997
Square (n²)
12,543,328,009
Cube (n³)
1,404,815,107,023,973
Divisor count
2
σ(n) — sum of divisors
111,998
φ(n) — Euler's totient
111,996

Primality

111,997 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 111997
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 111,997)
1 × 111997
First multiples
111,997 · 223,994 (double) · 335,991 · 447,988 · 559,985 · 671,982 · 783,979 · 895,976 · 1,007,973 · 1,119,970

Sums & aliquot sequence

As a sum of two squares: 21² + 334²
As consecutive integers: 55,998 + 55,999

Continued fraction of √n

√111,997 = [334; (1, 1, 1, 14, 1, 8, 1, 9, 1, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 4, 222, 1, 7, …)]

Representations

In words
one hundred eleven thousand nine hundred ninety-seven
Ordinal
111997th
Binary
11011010101111101
Octal
332575
Hexadecimal
0x1B57D
Base64
AbV9
One's complement
4,294,855,298 (32-bit)
Scientific notation
1.11997 × 10⁵
As a duration
111,997 s = 1 day, 7 hours, 6 minutes, 37 seconds
In other bases
ternary (3) 12200122001
quaternary (4) 123111331
quinary (5) 12040442
senary (6) 2222301
septenary (7) 644344
nonary (9) 180561
undecimal (11) 77166
duodecimal (12) 54991
tridecimal (13) 3bc92
tetradecimal (14) 2cb5b
pentadecimal (15) 232b7

As an angle

111,997° = 311 × 360° + 37°
37° ≈ 0.646 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριαϡϟζʹ
Mayan (base 20)
𝋭·𝋳·𝋳·𝋱
Chinese
一十一萬一千九百九十七
Chinese (financial)
壹拾壹萬壹仟玖佰玖拾柒
In other modern scripts
Eastern Arabic ١١١٩٩٧ Devanagari १११९९७ Bengali ১১১৯৯৭ Tamil ௧௧௧௯௯௭ Thai ๑๑๑๙๙๗ Tibetan ༡༡༡༩༩༧ Khmer ១១១៩៩៧ Lao ໑໑໑໙໙໗ Burmese ၁၁၁၉၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B57D
RGB(1, 181, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.125.

Address
0.1.181.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.181.125

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 111,997 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 111997 first appears in π at position 919,478 of the decimal expansion (the 919,478ordinal-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.