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Number

23,873

23,873 is a prime, odd.

23,873 (twenty-three thousand eight hundred seventy-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x5D41.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
23
Digit product
1,008
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
37,832
Recamán's sequence
a(38,569) = 23,873
Square (n²)
569,920,129
Cube (n³)
13,605,703,239,617
Divisor count
2
σ(n) — sum of divisors
23,874
φ(n) — Euler's totient
23,872

Primality

23,873 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 23873
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 23,873)
1 × 23873
First multiples
23,873 · 47,746 (double) · 71,619 · 95,492 · 119,365 · 143,238 · 167,111 · 190,984 · 214,857 · 238,730

Sums & aliquot sequence

As a sum of two squares: 88² + 127²
As consecutive integers: 11,936 + 11,937

Continued fraction of √n

√23,873 = [154; (1, 1, 27, 1, 1, 2, 4, 2, 3, 15, 1, 37, 1, 2, 4, 1, 2, 1, 2, 3, 9, 2, 1, 3, …)]

Representations

In words
twenty-three thousand eight hundred seventy-three
Ordinal
23873rd
Binary
101110101000001
Octal
56501
Hexadecimal
0x5D41
Base64
XUE=
One's complement
41,662 (16-bit)
Scientific notation
2.3873 × 10⁴
As a duration
23,873 s = 6 hours, 37 minutes, 53 seconds
In other bases
ternary (3) 1012202012
quaternary (4) 11311001
quinary (5) 1230443
senary (6) 302305
septenary (7) 126413
nonary (9) 35665
undecimal (11) 16a33
duodecimal (12) 11995
tridecimal (13) ab35
tetradecimal (14) 89b3
pentadecimal (15) 7118

As an angle

23,873° = 66 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵κγωογʹ
Mayan (base 20)
𝋢·𝋳·𝋭·𝋭
Chinese
二萬三千八百七十三
Chinese (financial)
貳萬參仟捌佰柒拾參
In other modern scripts
Eastern Arabic ٢٣٨٧٣ Devanagari २३८७३ Bengali ২৩৮৭৩ Tamil ௨௩௮௭௩ Thai ๒๓๘๗๓ Tibetan ༢༣༨༧༣ Khmer ២៣៨៧៣ Lao ໒໓໘໗໓ Burmese ၂၃၈၇၃

Digit at this position in famous constants

π — Pi (π)
Digit 23,873 = 1
e — Euler's number (e)
Digit 23,873 = 9
φ — Golden ratio (φ)
Digit 23,873 = 8
√2 — Pythagoras's (√2)
Digit 23,873 = 4
ln 2 — Natural log of 2
Digit 23,873 = 7
γ — Euler-Mascheroni (γ)
Digit 23,873 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 23,869 (gap of 4)
  • Next prime: 23,879 (gap of 6)

Pair status: cousin with 23869, sexy with 23879.

Unicode codepoint
CJK Unified Ideograph-5D41
U+5D41
Other letter (Lo)

UTF-8 encoding: E5 B5 81 (3 bytes).

Hex color
#005D41
RGB(0, 93, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.93.65.

Address
0.0.93.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.93.65

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

Position in π

The digit sequence 23873 first appears in π at position 3,573 of the decimal expansion (the 3,573ordinal-suffix:rd 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.