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116,009

116,009 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.).

116,009 (one hundred sixteen thousand nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C529.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Flippable Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
900,611
Flips to (rotate 180°)
600,911
Square (n²)
13,458,088,081
Cube (n³)
1,561,259,340,188,729
Divisor count
2
σ(n) — sum of divisors
116,010
φ(n) — Euler's totient
116,008

Primality

116,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 116009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 116,009)
1 × 116009
First multiples
116,009 · 232,018 (double) · 348,027 · 464,036 · 580,045 · 696,054 · 812,063 · 928,072 · 1,044,081 · 1,160,090

Sums & aliquot sequence

As a sum of two squares: 205² + 272²
As consecutive integers: 58,004 + 58,005

Continued fraction of √n

√116,009 = [340; (1, 1, 1, 1, 41, 1, 39, 10, 1, 1, 1, 1, 1, 1, 1, 7, 2, 1, 1, 7, 1, 11, 1, 1, …)]

Representations

In words
one hundred sixteen thousand nine
Ordinal
116009th
Binary
11100010100101001
Octal
342451
Hexadecimal
0x1C529
Base64
AcUp
One's complement
4,294,851,286 (32-bit)
Scientific notation
1.16009 × 10⁵
As a duration
116,009 s = 1 day, 8 hours, 13 minutes, 29 seconds
In other bases
ternary (3) 12220010122
quaternary (4) 130110221
quinary (5) 12203014
senary (6) 2253025
septenary (7) 662135
nonary (9) 186118
undecimal (11) 7a183
duodecimal (12) 57175
tridecimal (13) 40a5a
tetradecimal (14) 303c5
pentadecimal (15) 2458e
Palindromic in base 12

As an angle

116,009° = 322 × 360° + 89°
89° ≈ 1.553 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϛθʹ
Mayan (base 20)
𝋮·𝋪·𝋠·𝋩
Chinese
一十一萬六千零九
Chinese (financial)
壹拾壹萬陸仟零玖
In other modern scripts
Eastern Arabic ١١٦٠٠٩ Devanagari ११६००९ Bengali ১১৬০০৯ Tamil ௧௧௬௦௦௯ Thai ๑๑๖๐๐๙ Tibetan ༡༡༦༠༠༩ Khmer ១១៦០០៩ Lao ໑໑໖໐໐໙ Burmese ၁၁၆၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01C529
RGB(1, 197, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.41.

Address
0.1.197.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.197.41

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 116,009 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 116009 first appears in π at position 382,632 of the decimal expansion (the 382,632ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.