Number

13,553

13,553 is a prime, odd.

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

Properties

Parity: Odd
Digit count: 5
Digit sum: 17
Digit product: 225
Digital root: 8
Palindrome: No
Bit width: 14 bits
Reversed: 35,531
Recamán's sequence: a(3,878) = 13,553
Square (n²): 183,683,809
Cube (n³): 2,489,466,663,377
Divisor count: 2
σ(n) — sum of divisors: 13,554
φ(n) — Euler's totient: 13,552

Primality

13,553 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13553

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,553)

1 × 13553

First multiples

13,553 · 27,106 (double) · 40,659 · 54,212 · 67,765 · 81,318 · 94,871 · 108,424 · 121,977 · 135,530

Sums & aliquot sequence

As a sum of two squares: 28² + 113²

As consecutive integers: 6,776 + 6,777

Representations

In words: thirteen thousand five hundred fifty-three
Ordinal: 13553rd
Binary: 11010011110001
Octal: 32361
Hexadecimal: 0x34F1
Base64: NPE=
One's complement: 51,982 (16-bit)

In other bases

ternary (3) 200120222

quaternary (4) 3103301

quinary (5) 413203

senary (6) 142425

septenary (7) 54341

nonary (9) 20528

undecimal (11) a201

duodecimal (12) 7a15

tridecimal (13) 6227

tetradecimal (14) 4d21

pentadecimal (15) 4038

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ιγφνγʹ
Mayan (base 20): 𝋡·𝋭·𝋱·𝋭
Chinese: 一萬三千五百五十三
Chinese (financial): 壹萬參仟伍佰伍拾參

In other modern scripts

Eastern Arabic ١٣٥٥٣ Devanagari १३५५३ Bengali ১৩৫৫৩ Tamil ௧௩௫௫௩ Thai ๑๓๕๕๓ Tibetan ༡༣༥༥༣ Khmer ១៣៥៥៣ Lao ໑໓໕໕໓ Burmese ၁၃၅၅၃

Digit at this position in famous constants

π — Pi (π): Digit 13,553 = 9
e — Euler's number (e): Digit 13,553 = 1
φ — Golden ratio (φ): Digit 13,553 = 0
√2 — Pythagoras's (√2): Digit 13,553 = 4
ln 2 — Natural log of 2: Digit 13,553 = 9
γ — Euler-Mascheroni (γ): Digit 13,553 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,537 (gap of 16)
Next prime: 13,567 (gap of 14)

Unicode codepoint

㓱

CJK Unified Ideograph-34F1

U+34F1

Other letter (Lo)

UTF-8 encoding: E3 93 B1 (3 bytes).

Lookup U+34F1 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0034F1

RGB(0, 52, 241)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.241.

Address: 0.0.52.241
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.52.241

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

Position in π

The digit sequence 13553 first appears in π at position 73,863 of the decimal expansion (the 73,863ordinal-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.

Look up 13553 on Pi Search ↗