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Number

23,053

23,053 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
35,032
Recamán's sequence
a(83,746) = 23,053
Square (n²)
531,440,809
Cube (n³)
12,251,304,969,877
Divisor count
2
σ(n) — sum of divisors
23,054
φ(n) — Euler's totient
23,052

Primality

23,053 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 23053
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 23,053)
1 × 23053
First multiples
23,053 · 46,106 (double) · 69,159 · 92,212 · 115,265 · 138,318 · 161,371 · 184,424 · 207,477 · 230,530

Sums & aliquot sequence

As a sum of two squares: 38² + 147²
As consecutive integers: 11,526 + 11,527

Representations

In words
twenty-three thousand fifty-three
Ordinal
23053rd
Binary
101101000001101
Octal
55015
Hexadecimal
0x5A0D
Base64
Wg0=
One's complement
42,482 (16-bit)
In other bases
ternary (3) 1011121211
quaternary (4) 11220031
quinary (5) 1214203
senary (6) 254421
septenary (7) 124132
nonary (9) 34554
undecimal (11) 16358
duodecimal (12) 11411
tridecimal (13) a654
tetradecimal (14) 8589
pentadecimal (15) 6c6d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵κγνγʹ
Mayan (base 20)
𝋢·𝋱·𝋬·𝋭
Chinese
二萬三千零五十三
Chinese (financial)
貳萬參仟零伍拾參
In other modern scripts
Eastern Arabic ٢٣٠٥٣ Devanagari २३०५३ Bengali ২৩০৫৩ Tamil ௨௩௦௫௩ Thai ๒๓๐๕๓ Tibetan ༢༣༠༥༣ Khmer ២៣០៥៣ Lao ໒໓໐໕໓ Burmese ၂၃၀၅၃

Digit at this position in famous constants

π — Pi (π)
Digit 23,053 = 4
e — Euler's number (e)
Digit 23,053 = 1
φ — Golden ratio (φ)
Digit 23,053 = 2
√2 — Pythagoras's (√2)
Digit 23,053 = 7
ln 2 — Natural log of 2
Digit 23,053 = 9
γ — Euler-Mascheroni (γ)
Digit 23,053 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 23,041 (gap of 12)
  • Next prime: 23,057 (gap of 4)

Pair status: cousin with 23057.

Unicode codepoint
CJK Unified Ideograph-5A0D
U+5A0D
Other letter (Lo)

UTF-8 encoding: E5 A8 8D (3 bytes).

Hex color
#005A0D
RGB(0, 90, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.90.13.

Address
0.0.90.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.90.13

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

Position in π

The digit sequence 23053 first appears in π at position 4,234 of the decimal expansion (the 4,234ordinal-suffix:th 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.