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Number

23,561

23,561 is a prime, odd.

23,561 (twenty-three thousand five hundred sixty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x5C09.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
180
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
16,532
Recamán's sequence
a(39,193) = 23,561
Square (n²)
555,120,721
Cube (n³)
13,079,199,307,481
Divisor count
2
σ(n) — sum of divisors
23,562
φ(n) — Euler's totient
23,560

Primality

23,561 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 23561
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 23,561)
1 × 23561
First multiples
23,561 · 47,122 (double) · 70,683 · 94,244 · 117,805 · 141,366 · 164,927 · 188,488 · 212,049 · 235,610

Sums & aliquot sequence

As a sum of two squares: 80² + 131²
As consecutive integers: 11,780 + 11,781

Continued fraction of √n

√23,561 = [153; (2, 60, 1, 8, 1, 11, 2, 1, 1, 1, 2, 1, 1, 1, 1, 7, 16, 38, 3, 4, 1, 6, 1, 6, …)]

Representations

In words
twenty-three thousand five hundred sixty-one
Ordinal
23561st
Binary
101110000001001
Octal
56011
Hexadecimal
0x5C09
Base64
XAk=
One's complement
41,974 (16-bit)
Scientific notation
2.3561 × 10⁴
As a duration
23,561 s = 6 hours, 32 minutes, 41 seconds
In other bases
ternary (3) 1012022122
quaternary (4) 11300021
quinary (5) 1223221
senary (6) 301025
septenary (7) 125456
nonary (9) 35278
undecimal (11) 1677a
duodecimal (12) 11775
tridecimal (13) a955
tetradecimal (14) 882d
pentadecimal (15) 6eab
Palindromic in base 5

As an angle

23,561° = 65 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵κγφξαʹ
Mayan (base 20)
𝋢·𝋲·𝋲·𝋡
Chinese
二萬三千五百六十一
Chinese (financial)
貳萬參仟伍佰陸拾壹
In other modern scripts
Eastern Arabic ٢٣٥٦١ Devanagari २३५६१ Bengali ২৩৫৬১ Tamil ௨௩௫௬௧ Thai ๒๓๕๖๑ Tibetan ༢༣༥༦༡ Khmer ២៣៥៦១ Lao ໒໓໕໖໑ Burmese ၂၃၅၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 23,561 = 7
e — Euler's number (e)
Digit 23,561 = 1
φ — Golden ratio (φ)
Digit 23,561 = 2
√2 — Pythagoras's (√2)
Digit 23,561 = 5
ln 2 — Natural log of 2
Digit 23,561 = 1
γ — Euler-Mascheroni (γ)
Digit 23,561 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 23,557 (gap of 4)
  • Next prime: 23,563 (gap of 2)

Pair status: twin with 23563, cousin with 23557.

Unicode codepoint
CJK Unified Ideograph-5C09
U+5C09
Other letter (Lo)

UTF-8 encoding: E5 B0 89 (3 bytes).

Hex color
#005C09
RGB(0, 92, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.92.9.

Address
0.0.92.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.92.9

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 23561 first appears in π at position 117,481 of the decimal expansion (the 117,481ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.