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112,643

112,643 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.).

112,643 (one hundred twelve thousand six hundred forty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B803.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
346,211
Square (n²)
12,688,445,449
Cube (n³)
1,429,264,560,711,707
Divisor count
2
σ(n) — sum of divisors
112,644
φ(n) — Euler's totient
112,642

Primality

112,643 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112643
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,643)
1 × 112643
First multiples
112,643 · 225,286 (double) · 337,929 · 450,572 · 563,215 · 675,858 · 788,501 · 901,144 · 1,013,787 · 1,126,430

Sums & aliquot sequence

As consecutive integers: 56,321 + 56,322

Continued fraction of √n

√112,643 = [335; (1, 1, 1, 1, 1, 8, 1, 1, 3, 16, 11, 3, 5, 1, 18, 1, 9, 14, 2, 30, 35, 3, 2, 1, …)]

Representations

In words
one hundred twelve thousand six hundred forty-three
Ordinal
112643rd
Binary
11011100000000011
Octal
334003
Hexadecimal
0x1B803
Base64
AbgD
One's complement
4,294,854,652 (32-bit)
Scientific notation
1.12643 × 10⁵
As a duration
112,643 s = 1 day, 7 hours, 17 minutes, 23 seconds
In other bases
ternary (3) 12201111222
quaternary (4) 123200003
quinary (5) 12101033
senary (6) 2225255
septenary (7) 646256
nonary (9) 181458
undecimal (11) 776a3
duodecimal (12) 5522b
tridecimal (13) 3c36b
tetradecimal (14) 2d09d
pentadecimal (15) 23598

As an angle

112,643° = 312 × 360° + 323°
323° ≈ 5.637 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριβχμγʹ
Mayan (base 20)
𝋮·𝋡·𝋬·𝋣
Chinese
一十一萬二千六百四十三
Chinese (financial)
壹拾壹萬貳仟陸佰肆拾參
In other modern scripts
Eastern Arabic ١١٢٦٤٣ Devanagari ११२६४३ Bengali ১১২৬৪৩ Tamil ௧௧௨௬௪௩ Thai ๑๑๒๖๔๓ Tibetan ༡༡༢༦༤༣ Khmer ១១២៦៤៣ Lao ໑໑໒໖໔໓ Burmese ၁၁၂၆၄၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B803
RGB(1, 184, 3)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.3.

Address
0.1.184.3
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.184.3

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 112,643 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 112643 first appears in π at position 188,318 of the decimal expansion (the 188,318ordinal-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.