Number

13,523

13,523 is a prime, odd.

Arithmetic Number Deficient Number Emirp Evil Number Prime Recamán's Sequence Safe Prime Squarefree

Properties

Parity: Odd
Digit count: 5
Digit sum: 14
Digit product: 90
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 32,531
Recamán's sequence: a(47,229) = 13,523
Square (n²): 182,871,529
Cube (n³): 2,472,971,686,667
Divisor count: 2
σ(n) — sum of divisors: 13,524
φ(n) — Euler's totient: 13,522

Primality

13,523 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13523

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,523)

1 × 13523

First multiples

13,523 · 27,046 (double) · 40,569 · 54,092 · 67,615 · 81,138 · 94,661 · 108,184 · 121,707 · 135,230

Sums & aliquot sequence

As consecutive integers: 6,761 + 6,762

Representations

In words: thirteen thousand five hundred twenty-three
Ordinal: 13523rd
Binary: 11010011010011
Octal: 32323
Hexadecimal: 0x34D3
Base64: NNM=
One's complement: 52,012 (16-bit)

In other bases

ternary (3) 200112212

quaternary (4) 3103103

quinary (5) 413043

senary (6) 142335

septenary (7) 54266

nonary (9) 20485

undecimal (11) a184

duodecimal (12) 79ab

tridecimal (13) 6203

tetradecimal (14) 4cdd

pentadecimal (15) 4018

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ιγφκγʹ
Mayan (base 20): 𝋡·𝋭·𝋰·𝋣
Chinese: 一萬三千五百二十三
Chinese (financial): 壹萬參仟伍佰貳拾參

In other modern scripts

Eastern Arabic ١٣٥٢٣ Devanagari १३५२३ Bengali ১৩৫২৩ Tamil ௧௩௫௨௩ Thai ๑๓๕๒๓ Tibetan ༡༣༥༢༣ Khmer ១៣៥២៣ Lao ໑໓໕໒໓ Burmese ၁၃၅၂၃

Digit at this position in famous constants

π — Pi (π): Digit 13,523 = 8
e — Euler's number (e): Digit 13,523 = 4
φ — Golden ratio (φ): Digit 13,523 = 3
√2 — Pythagoras's (√2): Digit 13,523 = 5
ln 2 — Natural log of 2: Digit 13,523 = 3
γ — Euler-Mascheroni (γ): Digit 13,523 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,513 (gap of 10)
Next prime: 13,537 (gap of 14)

Unicode codepoint

㓓

CJK Unified Ideograph-34D3

U+34D3

Other letter (Lo)

UTF-8 encoding: E3 93 93 (3 bytes).

Lookup U+34D3 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0034D3

RGB(0, 52, 211)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.211.

Address: 0.0.52.211
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.52.211

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

Position in π

The digit sequence 13523 first appears in π at position 70,679 of the decimal expansion (the 70,679ordinal-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.

Look up 13523 on Pi Search ↗