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112,859

112,859 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.).

112,859 (one hundred twelve thousand eight 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, 0x1B8DB.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
720
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
958,211
Recamán's sequence
a(52,765) = 112,859
Square (n²)
12,737,153,881
Cube (n³)
1,437,502,449,855,779
Divisor count
2
σ(n) — sum of divisors
112,860
φ(n) — Euler's totient
112,858

Primality

112,859 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112859
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,859)
1 × 112859
First multiples
112,859 · 225,718 (double) · 338,577 · 451,436 · 564,295 · 677,154 · 790,013 · 902,872 · 1,015,731 · 1,128,590

Sums & aliquot sequence

As consecutive integers: 56,429 + 56,430

Continued fraction of √n

√112,859 = [335; (1, 17, 6, 4, 2, 7, 2, 5, 2, 10, 1, 1, 3, 1, 12, 1, 1, 1, 13, 1, 1, 1, 3, 10, …)]

Representations

In words
one hundred twelve thousand eight hundred fifty-nine
Ordinal
112859th
Binary
11011100011011011
Octal
334333
Hexadecimal
0x1B8DB
Base64
Abjb
One's complement
4,294,854,436 (32-bit)
Scientific notation
1.12859 × 10⁵
As a duration
112,859 s = 1 day, 7 hours, 20 minutes, 59 seconds
In other bases
ternary (3) 12201210222
quaternary (4) 123203123
quinary (5) 12102414
senary (6) 2230255
septenary (7) 650015
nonary (9) 181728
undecimal (11) 7787a
duodecimal (12) 5538b
tridecimal (13) 3c4a6
tetradecimal (14) 2d1b5
pentadecimal (15) 2368e

As an angle

112,859° = 313 × 360° + 179°
179° ≈ 3.124 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβωνθʹ
Mayan (base 20)
𝋮·𝋢·𝋢·𝋳
Chinese
一十一萬二千八百五十九
Chinese (financial)
壹拾壹萬貳仟捌佰伍拾玖
In other modern scripts
Eastern Arabic ١١٢٨٥٩ Devanagari ११२८५९ Bengali ১১২৮৫৯ Tamil ௧௧௨௮௫௯ Thai ๑๑๒๘๕๙ Tibetan ༡༡༢༨༥༩ Khmer ១១២៨៥៩ Lao ໑໑໒໘໕໙ Burmese ၁၁၂၈၅၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B8DB
RGB(1, 184, 219)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.219.

Address
0.1.184.219
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.184.219

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 112,859 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 112859 first appears in π at position 785,821 of the decimal expansion (the 785,821ordinal-suffix:st 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.