number.wiki
Live analysis

104,113

104,113 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.).

104,113 (one hundred four 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, 0x196B1.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
311,401
Recamán's sequence
a(93,877) = 104,113
Square (n²)
10,839,516,769
Cube (n³)
1,128,534,609,370,897
Divisor count
2
σ(n) — sum of divisors
104,114
φ(n) — Euler's totient
104,112

Primality

104,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 104113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 104,113)
1 × 104113
First multiples
104,113 · 208,226 (double) · 312,339 · 416,452 · 520,565 · 624,678 · 728,791 · 832,904 · 937,017 · 1,041,130

Sums & aliquot sequence

As a sum of two squares: 172² + 273²
As consecutive integers: 52,056 + 52,057

Continued fraction of √n

√104,113 = [322; (1, 1, 1, 91, 1, 1, 10, 13, 13, 2, 1, 2, 1, 1, 6, 1, 1, 19, 49, 1, 1, 2, 3, 2, …)]

Representations

In words
one hundred four thousand one hundred thirteen
Ordinal
104113th
Binary
11001011010110001
Octal
313261
Hexadecimal
0x196B1
Base64
AZax
One's complement
4,294,863,182 (32-bit)
Scientific notation
1.04113 × 10⁵
As a duration
104,113 s = 1 day, 4 hours, 55 minutes, 13 seconds
In other bases
ternary (3) 12021211001
quaternary (4) 121122301
quinary (5) 11312423
senary (6) 2122001
septenary (7) 612352
nonary (9) 167731
undecimal (11) 71249
duodecimal (12) 50301
tridecimal (13) 38509
tetradecimal (14) 29d29
pentadecimal (15) 20cad

As an angle

104,113° = 289 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρδριγʹ
Mayan (base 20)
𝋭·𝋠·𝋥·𝋭
Chinese
一十萬四千一百一十三
Chinese (financial)
壹拾萬肆仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١٠٤١١٣ Devanagari १०४११३ Bengali ১০৪১১৩ Tamil ௧௦௪௧௧௩ Thai ๑๐๔๑๑๓ Tibetan ༡༠༤༡༡༣ Khmer ១០៤១១៣ Lao ໑໐໔໑໑໓ Burmese ၁၀၄၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 104107, sexy with 104119.

Hex color
#0196B1
RGB(1, 150, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.177.

Address
0.1.150.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.177

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 104,113 and was likely granted around 1870.

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

Position in π

The digit sequence 104113 first appears in π at position 635,471 of the decimal expansion (the 635,471ordinal-suffix:st 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.