number.wiki
Live analysis

104,801

104,801 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.).

104,801 (one hundred four 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, 0x19961.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
108,401
Recamán's sequence
a(91,589) = 104,801
Square (n²)
10,983,249,601
Cube (n³)
1,151,055,541,434,401
Divisor count
2
σ(n) — sum of divisors
104,802
φ(n) — Euler's totient
104,800

Primality

104,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 104801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 104,801)
1 × 104801
First multiples
104,801 · 209,602 (double) · 314,403 · 419,204 · 524,005 · 628,806 · 733,607 · 838,408 · 943,209 · 1,048,010

Sums & aliquot sequence

As a sum of two squares: 49² + 320²
As consecutive integers: 52,400 + 52,401

Continued fraction of √n

√104,801 = [323; (1, 2, 1, 2, 2, 1, 6, 1, 10, 1, 2, 4, 8, 5, 1, 1, 1, 1, 4, 3, 1, 4, 1, 6, …)]

Representations

In words
one hundred four thousand eight hundred one
Ordinal
104801st
Binary
11001100101100001
Octal
314541
Hexadecimal
0x19961
Base64
AZlh
One's complement
4,294,862,494 (32-bit)
Scientific notation
1.04801 × 10⁵
As a duration
104,801 s = 1 day, 5 hours, 6 minutes, 41 seconds
In other bases
ternary (3) 12022202112
quaternary (4) 121211201
quinary (5) 11323201
senary (6) 2125105
septenary (7) 614354
nonary (9) 168675
undecimal (11) 71814
duodecimal (12) 50795
tridecimal (13) 38918
tetradecimal (14) 2a29b
pentadecimal (15) 210bb

As an angle

104,801° = 291 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρδωαʹ
Mayan (base 20)
𝋭·𝋢·𝋠·𝋡
Chinese
一十萬四千八百零一
Chinese (financial)
壹拾萬肆仟捌佰零壹
In other modern scripts
Eastern Arabic ١٠٤٨٠١ Devanagari १०४८०१ Bengali ১০৪৮০১ Tamil ௧௦௪௮௦௧ Thai ๑๐๔๘๐๑ Tibetan ༡༠༤༨༠༡ Khmer ១០៤៨០១ Lao ໑໐໔໘໐໑ Burmese ၁၀၄၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 104803.

Hex color
#019961
RGB(1, 153, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.153.97.

Address
0.1.153.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.153.97

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 104,801 and was likely granted around 1870.

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

Position in π

The digit sequence 104801 first appears in π at position 219,277 of the decimal expansion (the 219,277ordinal-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.