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Number

23,321

23,321 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
36
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
12,332
Recamán's sequence
a(6,593) = 23,321
Square (n²)
543,869,041
Cube (n³)
12,683,569,905,161
Divisor count
2
σ(n) — sum of divisors
23,322
φ(n) — Euler's totient
23,320

Primality

23,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 23321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 23,321)
1 × 23321
First multiples
23,321 · 46,642 (double) · 69,963 · 93,284 · 116,605 · 139,926 · 163,247 · 186,568 · 209,889 · 233,210

Sums & aliquot sequence

As a sum of two squares: 61² + 140²
As consecutive integers: 11,660 + 11,661

Representations

In words
twenty-three thousand three hundred twenty-one
Ordinal
23321st
Binary
101101100011001
Octal
55431
Hexadecimal
0x5B19
Base64
Wxk=
One's complement
42,214 (16-bit)
In other bases
ternary (3) 1011222202
quaternary (4) 11230121
quinary (5) 1221241
senary (6) 255545
septenary (7) 124664
nonary (9) 34882
undecimal (11) 16581
duodecimal (12) 115b5
tridecimal (13) a7cc
tetradecimal (14) 86db
pentadecimal (15) 6d9b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵κγτκαʹ
Mayan (base 20)
𝋢·𝋲·𝋦·𝋡
Chinese
二萬三千三百二十一
Chinese (financial)
貳萬參仟參佰貳拾壹
In other modern scripts
Eastern Arabic ٢٣٣٢١ Devanagari २३३२१ Bengali ২৩৩২১ Tamil ௨௩௩௨௧ Thai ๒๓๓๒๑ Tibetan ༢༣༣༢༡ Khmer ២៣៣២១ Lao ໒໓໓໒໑ Burmese ၂၃၃၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 23,321 = 4
e — Euler's number (e)
Digit 23,321 = 0
φ — Golden ratio (φ)
Digit 23,321 = 3
√2 — Pythagoras's (√2)
Digit 23,321 = 2
ln 2 — Natural log of 2
Digit 23,321 = 9
γ — Euler-Mascheroni (γ)
Digit 23,321 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 23,311 (gap of 10)
  • Next prime: 23,327 (gap of 6)

Pair status: sexy with 23327.

Unicode codepoint
CJK Unified Ideograph-5B19
U+5B19
Other letter (Lo)

UTF-8 encoding: E5 AC 99 (3 bytes).

Hex color
#005B19
RGB(0, 91, 25)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.91.25.

Address
0.0.91.25
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.91.25

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

Position in π

The digit sequence 23321 first appears in π at position 38,362 of the decimal expansion (the 38,362ordinal-suffix:nd 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.