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113,167

113,167 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.).

113,167 (one hundred thirteen thousand one hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BA0F.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
126
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
761,311
Recamán's sequence
a(246,242) = 113,167
Square (n²)
12,806,769,889
Cube (n³)
1,449,303,728,028,463
Divisor count
2
σ(n) — sum of divisors
113,168
φ(n) — Euler's totient
113,166

Primality

113,167 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113167
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,167)
1 × 113167
First multiples
113,167 · 226,334 (double) · 339,501 · 452,668 · 565,835 · 679,002 · 792,169 · 905,336 · 1,018,503 · 1,131,670

Sums & aliquot sequence

As consecutive integers: 56,583 + 56,584

Continued fraction of √n

√113,167 = [336; (2, 2, 12, 1, 3, 1, 4, 2, 1, 19, 9, 1, 111, 4, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirteen thousand one hundred sixty-seven
Ordinal
113167th
Binary
11011101000001111
Octal
335017
Hexadecimal
0x1BA0F
Base64
AboP
One's complement
4,294,854,128 (32-bit)
Scientific notation
1.13167 × 10⁵
As a duration
113,167 s = 1 day, 7 hours, 26 minutes, 7 seconds
In other bases
ternary (3) 12202020101
quaternary (4) 123220033
quinary (5) 12110132
senary (6) 2231531
septenary (7) 650635
nonary (9) 182211
undecimal (11) 7802a
duodecimal (12) 555a7
tridecimal (13) 3c682
tetradecimal (14) 2d355
pentadecimal (15) 237e7

As an angle

113,167° = 314 × 360° + 127°
127° ≈ 2.217 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγρξζʹ
Mayan (base 20)
𝋮·𝋢·𝋲·𝋧
Chinese
一十一萬三千一百六十七
Chinese (financial)
壹拾壹萬參仟壹佰陸拾柒
In other modern scripts
Eastern Arabic ١١٣١٦٧ Devanagari ११३१६७ Bengali ১১৩১৬৭ Tamil ௧௧௩௧௬௭ Thai ๑๑๓๑๖๗ Tibetan ༡༡༣༡༦༧ Khmer ១១៣១៦៧ Lao ໑໑໓໑໖໗ Burmese ၁၁၃၁၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 113171, sexy with 113161.

Hex color
#01BA0F
RGB(1, 186, 15)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.15.

Address
0.1.186.15
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.15

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 113,167 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 113167 first appears in π at position 738,208 of the decimal expansion (the 738,208ordinal-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.