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104,021

104,021 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.).

104,021 (one hundred four thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x19655.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
120,401
Recamán's sequence
a(94,061) = 104,021
Square (n²)
10,820,368,441
Cube (n³)
1,125,545,545,601,261
Divisor count
2
σ(n) — sum of divisors
104,022
φ(n) — Euler's totient
104,020

Primality

104,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 104021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 104,021)
1 × 104021
First multiples
104,021 · 208,042 (double) · 312,063 · 416,084 · 520,105 · 624,126 · 728,147 · 832,168 · 936,189 · 1,040,210

Sums & aliquot sequence

As a sum of two squares: 89² + 310²
As consecutive integers: 52,010 + 52,011

Continued fraction of √n

√104,021 = [322; (1, 1, 10, 2, 3, 4, 1, 3, 1, 3, 1, 10, 1, 14, 1, 4, 2, 14, 1, 1, 4, 1, 4, 2, …)]

Representations

In words
one hundred four thousand twenty-one
Ordinal
104021st
Binary
11001011001010101
Octal
313125
Hexadecimal
0x19655
Base64
AZZV
One's complement
4,294,863,274 (32-bit)
Scientific notation
1.04021 × 10⁵
As a duration
104,021 s = 1 day, 4 hours, 53 minutes, 41 seconds
In other bases
ternary (3) 12021200122
quaternary (4) 121121111
quinary (5) 11312041
senary (6) 2121325
septenary (7) 612161
nonary (9) 167618
undecimal (11) 71175
duodecimal (12) 50245
tridecimal (13) 38468
tetradecimal (14) 29ca1
pentadecimal (15) 20c4b

As an angle

104,021° = 288 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ρδκαʹ
Mayan (base 20)
𝋭·𝋠·𝋡·𝋡
Chinese
一十萬四千零二十一
Chinese (financial)
壹拾萬肆仟零貳拾壹
In other modern scripts
Eastern Arabic ١٠٤٠٢١ Devanagari १०४०२१ Bengali ১০৪০২১ Tamil ௧௦௪௦௨௧ Thai ๑๐๔๐๒๑ Tibetan ༡༠༤༠༢༡ Khmer ១០៤០២១ Lao ໑໐໔໐໒໑ Burmese ၁၀၄၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#019655
RGB(1, 150, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.85.

Address
0.1.150.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.85

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 104,021 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.