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103,801

103,801 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.).

103,801 (one hundred three thousand eight hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x19579.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
108,301
Recamán's sequence
a(94,501) = 103,801
Square (n²)
10,774,647,601
Cube (n³)
1,118,419,195,631,401
Divisor count
2
σ(n) — sum of divisors
103,802
φ(n) — Euler's totient
103,800

Primality

103,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 103801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 103,801)
1 × 103801
First multiples
103,801 · 207,602 (double) · 311,403 · 415,204 · 519,005 · 622,806 · 726,607 · 830,408 · 934,209 · 1,038,010

Sums & aliquot sequence

As a sum of two squares: 120² + 299²
As consecutive integers: 51,900 + 51,901

Continued fraction of √n

√103,801 = [322; (5, 1, 1, 42, 2, 2, 2, 1, 9, 2, 1, 3, 5, 1, 1, 7, 26, 1, 2, 1, 1, 12, 16, 33, …)]

Representations

In words
one hundred three thousand eight hundred one
Ordinal
103801st
Binary
11001010101111001
Octal
312571
Hexadecimal
0x19579
Base64
AZV5
One's complement
4,294,863,494 (32-bit)
Scientific notation
1.03801 × 10⁵
As a duration
103,801 s = 1 day, 4 hours, 50 minutes, 1 second
In other bases
ternary (3) 12021101111
quaternary (4) 121111321
quinary (5) 11310201
senary (6) 2120321
septenary (7) 611425
nonary (9) 167344
undecimal (11) 70a95
duodecimal (12) 500a1
tridecimal (13) 38329
tetradecimal (14) 29b85
pentadecimal (15) 20b51

As an angle

103,801° = 288 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ργωαʹ
Mayan (base 20)
𝋬·𝋳·𝋪·𝋡
Chinese
一十萬三千八百零一
Chinese (financial)
壹拾萬參仟捌佰零壹
In other modern scripts
Eastern Arabic ١٠٣٨٠١ Devanagari १०३८०१ Bengali ১০৩৮০১ Tamil ௧௦௩௮௦௧ Thai ๑๐๓๘๐๑ Tibetan ༡༠༣༨༠༡ Khmer ១០៣៨០១ Lao ໑໐໓໘໐໑ Burmese ၁၀၃၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#019579
RGB(1, 149, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.149.121.

Address
0.1.149.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.149.121

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 103,801 and was likely granted around 1870.

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

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.