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167,113

167,113 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.).

167,113 (one hundred sixty-seven thousand one hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x28CC9.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean 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
18 bits
Reversed
311,761
Recamán's sequence
a(471,781) = 167,113
Square (n²)
27,926,754,769
Cube (n³)
4,666,923,769,711,897
Divisor count
2
σ(n) — sum of divisors
167,114
φ(n) — Euler's totient
167,112

Primality

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

Divisors & multiples

All divisors (2)
1 · 167113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 167,113)
1 × 167113
First multiples
167,113 · 334,226 (double) · 501,339 · 668,452 · 835,565 · 1,002,678 · 1,169,791 · 1,336,904 · 1,504,017 · 1,671,130

Sums & aliquot sequence

As a sum of two squares: 188² + 363²
As consecutive integers: 83,556 + 83,557

Continued fraction of √n

√167,113 = [408; (1, 3, 1, 6, 1, 1, 3, 3, 3, 2, 12, 2, 1, 14, 1, 3, 74, 13, 1, 5, 2, 2, 3, 1, …)]

Representations

In words
one hundred sixty-seven thousand one hundred thirteen
Ordinal
167113th
Binary
101000110011001001
Octal
506311
Hexadecimal
0x28CC9
Base64
AozJ
One's complement
4,294,800,182 (32-bit)
Scientific notation
1.67113 × 10⁵
As a duration
167,113 s = 1 day, 22 hours, 25 minutes, 13 seconds
In other bases
ternary (3) 22111020101
quaternary (4) 220303021
quinary (5) 20321423
senary (6) 3325401
septenary (7) 1264132
nonary (9) 274211
undecimal (11) 104611
duodecimal (12) 80861
tridecimal (13) 5b0ab
tetradecimal (14) 44c89
pentadecimal (15) 347ad

As an angle

167,113° = 464 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρξζριγʹ
Chinese
一十六萬七千一百一十三
Chinese (financial)
壹拾陸萬柒仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١٦٧١١٣ Devanagari १६७११३ Bengali ১৬৭১১৩ Tamil ௧௬௭௧௧௩ Thai ๑๖๗๑๑๓ Tibetan ༡༦༧༡༡༣ Khmer ១៦៧១១៣ Lao ໑໖໗໑໑໓ Burmese ၁၆၇၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 167117, sexy with 167107.

Unicode codepoint
𨳉
CJK Unified Ideograph-28Cc9
U+28CC9
Other letter (Lo)

UTF-8 encoding: F0 A8 B3 89 (4 bytes).

Hex color
#028CC9
RGB(2, 140, 201)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.140.201.

Address
0.2.140.201
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.140.201

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 167,113 and was likely granted around 1874.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 167113 first appears in π at position 1,182 of the decimal expansion (the 1,182ordinal-suffix:nd 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.