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116,993

116,993 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.).

116,993 (one hundred sixteen thousand nine hundred ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C901.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
1,458
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
399,611
Square (n²)
13,687,362,049
Cube (n³)
1,601,325,548,198,657
Divisor count
2
σ(n) — sum of divisors
116,994
φ(n) — Euler's totient
116,992

Primality

116,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 116993
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 116,993)
1 × 116993
First multiples
116,993 · 233,986 (double) · 350,979 · 467,972 · 584,965 · 701,958 · 818,951 · 935,944 · 1,052,937 · 1,169,930

Sums & aliquot sequence

As a sum of two squares: 97² + 328²
As consecutive integers: 58,496 + 58,497

Continued fraction of √n

√116,993 = [342; (23, 1, 1, 2, 2, 1, 5, 2, 2, 18, 12, 6, 5, 5, 1, 1, 4, 21, 6, 2, 1, 7, 1, 39, …)]

Representations

In words
one hundred sixteen thousand nine hundred ninety-three
Ordinal
116993rd
Binary
11100100100000001
Octal
344401
Hexadecimal
0x1C901
Base64
AckB
One's complement
4,294,850,302 (32-bit)
Scientific notation
1.16993 × 10⁵
As a duration
116,993 s = 1 day, 8 hours, 29 minutes, 53 seconds
In other bases
ternary (3) 12221111002
quaternary (4) 130210001
quinary (5) 12220433
senary (6) 2301345
septenary (7) 665042
nonary (9) 187432
undecimal (11) 7a998
duodecimal (12) 57855
tridecimal (13) 41336
tetradecimal (14) 308c9
pentadecimal (15) 249e8

As an angle

116,993° = 324 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριϛϡϟγʹ
Mayan (base 20)
𝋮·𝋬·𝋩·𝋭
Chinese
一十一萬六千九百九十三
Chinese (financial)
壹拾壹萬陸仟玖佰玖拾參
In other modern scripts
Eastern Arabic ١١٦٩٩٣ Devanagari ११६९९३ Bengali ১১৬৯৯৩ Tamil ௧௧௬௯௯௩ Thai ๑๑๖๙๙๓ Tibetan ༡༡༦༩༩༣ Khmer ១១៦៩៩៣ Lao ໑໑໖໙໙໓ Burmese ၁၁၆၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 116989.

Hex color
#01C901
RGB(1, 201, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.1.

Address
0.1.201.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.1

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 116,993 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 116993 first appears in π at position 263,511 of the decimal expansion (the 263,511ordinal-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.