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Number

21,523

21,523 is a prime, odd.

21,523 (twenty-one thousand five hundred twenty-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x5413.

Arithmetic Number Cube-Free Deficient Number Evil Number Left-Truncatable Prime Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
60
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
32,512
Recamán's sequence
a(40,793) = 21,523
Square (n²)
463,239,529
Cube (n³)
9,970,304,382,667
Divisor count
2
σ(n) — sum of divisors
21,524
φ(n) — Euler's totient
21,522

Primality

21,523 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21523
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,523)
1 × 21523
First multiples
21,523 · 43,046 (double) · 64,569 · 86,092 · 107,615 · 129,138 · 150,661 · 172,184 · 193,707 · 215,230

Sums & aliquot sequence

As consecutive integers: 10,761 + 10,762

Continued fraction of √n

√21,523 = [146; (1, 2, 2, 2, 2, 4, 3, 6, 1, 5, 1, 1, 15, 1, 3, 5, 5, 1, 1, 3, 2, 9, 1, 2, …)]

Representations

In words
twenty-one thousand five hundred twenty-three
Ordinal
21523rd
Binary
101010000010011
Octal
52023
Hexadecimal
0x5413
Base64
VBM=
One's complement
44,012 (16-bit)
Scientific notation
2.1523 × 10⁴
As a duration
21,523 s = 5 hours, 58 minutes, 43 seconds
In other bases
ternary (3) 1002112011
quaternary (4) 11100103
quinary (5) 1142043
senary (6) 243351
septenary (7) 116515
nonary (9) 32464
undecimal (11) 15197
duodecimal (12) 10557
tridecimal (13) 9a48
tetradecimal (14) 7bb5
pentadecimal (15) 659d

As an angle

21,523° = 59 × 360° + 283°
283° ≈ 4.939 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵καφκγʹ
Mayan (base 20)
𝋢·𝋭·𝋰·𝋣
Chinese
二萬一千五百二十三
Chinese (financial)
貳萬壹仟伍佰貳拾參
In other modern scripts
Eastern Arabic ٢١٥٢٣ Devanagari २१५२३ Bengali ২১৫২৩ Tamil ௨௧௫௨௩ Thai ๒๑๕๒๓ Tibetan ༢༡༥༢༣ Khmer ២១៥២៣ Lao ໒໑໕໒໓ Burmese ၂၁၅၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 21,523 = 1
e — Euler's number (e)
Digit 21,523 = 9
φ — Golden ratio (φ)
Digit 21,523 = 4
√2 — Pythagoras's (√2)
Digit 21,523 = 6
ln 2 — Natural log of 2
Digit 21,523 = 9
γ — Euler-Mascheroni (γ)
Digit 21,523 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,521 (gap of 2)
  • Next prime: 21,529 (gap of 6)

Pair status: twin with 21521, sexy with 21529.

Unicode codepoint
CJK Unified Ideograph-5413
U+5413
Other letter (Lo)

UTF-8 encoding: E5 90 93 (3 bytes).

Hex color
#005413
RGB(0, 84, 19)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.84.19.

Address
0.0.84.19
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.84.19

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

Position in π

The digit sequence 21523 first appears in π at position 44,884 of the decimal expansion (the 44,884ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.