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104,561

104,561 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.).

104,561 (one hundred four thousand five hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x19871.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
165,401
Recamán's sequence
a(92,069) = 104,561
Square (n²)
10,933,002,721
Cube (n³)
1,143,165,697,510,481
Divisor count
2
σ(n) — sum of divisors
104,562
φ(n) — Euler's totient
104,560

Primality

104,561 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 104561
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 104,561)
1 × 104561
First multiples
104,561 · 209,122 (double) · 313,683 · 418,244 · 522,805 · 627,366 · 731,927 · 836,488 · 941,049 · 1,045,610

Sums & aliquot sequence

As a sum of two squares: 160² + 281²
As consecutive integers: 52,280 + 52,281

Continued fraction of √n

√104,561 = [323; (2, 1, 3, 1, 2, 15, 1, 4, 4, 3, 1, 7, 2, 2, 1, 2, 1, 1, 10, 1, 33, 8, 18, 2, …)]

Representations

In words
one hundred four thousand five hundred sixty-one
Ordinal
104561st
Binary
11001100001110001
Octal
314161
Hexadecimal
0x19871
Base64
AZhx
One's complement
4,294,862,734 (32-bit)
Scientific notation
1.04561 × 10⁵
As a duration
104,561 s = 1 day, 5 hours, 2 minutes, 41 seconds
In other bases
ternary (3) 12022102122
quaternary (4) 121201301
quinary (5) 11321221
senary (6) 2124025
septenary (7) 613562
nonary (9) 168378
undecimal (11) 71616
duodecimal (12) 50615
tridecimal (13) 38792
tetradecimal (14) 2a169
pentadecimal (15) 20eab

As an angle

104,561° = 290 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρδφξαʹ
Mayan (base 20)
𝋭·𝋡·𝋨·𝋡
Chinese
一十萬四千五百六十一
Chinese (financial)
壹拾萬肆仟伍佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٤٥٦١ Devanagari १०४५६१ Bengali ১০৪৫৬১ Tamil ௧௦௪௫௬௧ Thai ๑๐๔๕๖๑ Tibetan ༡༠༤༥༦༡ Khmer ១០៤៥៦១ Lao ໑໐໔໕໖໑ Burmese ၁၀၄၅၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#019871
RGB(1, 152, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.152.113.

Address
0.1.152.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.152.113

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 104,561 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.