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112,559

112,559 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.).

112,559 (one hundred twelve thousand five hundred fifty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B7AF.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
450
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
955,211
Square (n²)
12,669,528,481
Cube (n³)
1,426,069,456,292,879
Divisor count
2
σ(n) — sum of divisors
112,560
φ(n) — Euler's totient
112,558

Primality

112,559 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112559
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,559)
1 × 112559
First multiples
112,559 · 225,118 (double) · 337,677 · 450,236 · 562,795 · 675,354 · 787,913 · 900,472 · 1,013,031 · 1,125,590

Sums & aliquot sequence

As consecutive integers: 56,279 + 56,280

Continued fraction of √n

√112,559 = [335; (2, 133, 1, 2, 3, 26, 1, 1, 5, 1, 3, 5, 9, 3, 1, 5, 5, 1, 1, 19, 5, 4, 3, 3, …)]

Representations

In words
one hundred twelve thousand five hundred fifty-nine
Ordinal
112559th
Binary
11011011110101111
Octal
333657
Hexadecimal
0x1B7AF
Base64
Abev
One's complement
4,294,854,736 (32-bit)
Scientific notation
1.12559 × 10⁵
As a duration
112,559 s = 1 day, 7 hours, 15 minutes, 59 seconds
In other bases
ternary (3) 12201101212
quaternary (4) 123132233
quinary (5) 12100214
senary (6) 2225035
septenary (7) 646106
nonary (9) 181355
undecimal (11) 77627
duodecimal (12) 5517b
tridecimal (13) 3c305
tetradecimal (14) 2d03d
pentadecimal (15) 2353e

As an angle

112,559° = 312 × 360° + 239°
239° ≈ 4.171 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβφνθʹ
Mayan (base 20)
𝋮·𝋡·𝋧·𝋳
Chinese
一十一萬二千五百五十九
Chinese (financial)
壹拾壹萬貳仟伍佰伍拾玖
In other modern scripts
Eastern Arabic ١١٢٥٥٩ Devanagari ११२५५९ Bengali ১১২৫৫৯ Tamil ௧௧௨௫௫௯ Thai ๑๑๒๕๕๙ Tibetan ༡༡༢༥༥༩ Khmer ១១២៥៥៩ Lao ໑໑໒໕໕໙ Burmese ၁၁၂၅၅၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B7AF
RGB(1, 183, 175)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.175.

Address
0.1.183.175
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.175

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 112,559 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 112559 first appears in π at position 877,833 of the decimal expansion (the 877,833ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.