Number

13,441

13,441 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity: Odd
Digit count: 5
Digit sum: 13
Digit product: 48
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 14,431
Recamán's sequence: a(47,393) = 13,441
Square (n²): 180,660,481
Cube (n³): 2,428,257,525,121
Divisor count: 2
σ(n) — sum of divisors: 13,442
φ(n) — Euler's totient: 13,440

Primality

13,441 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13441

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,441)

1 × 13441

First multiples

13,441 · 26,882 (double) · 40,323 · 53,764 · 67,205 · 80,646 · 94,087 · 107,528 · 120,969 · 134,410

Sums & aliquot sequence

As a sum of two squares: 65² + 96²

As consecutive integers: 6,720 + 6,721

Representations

In words: thirteen thousand four hundred forty-one
Ordinal: 13441st
Binary: 11010010000001
Octal: 32201
Hexadecimal: 0x3481
Base64: NIE=
One's complement: 52,094 (16-bit)

In other bases

ternary (3) 200102211

quaternary (4) 3102001

quinary (5) 412231

senary (6) 142121

septenary (7) 54121

nonary (9) 20384

undecimal (11) a10a

duodecimal (12) 7941

tridecimal (13) 616c

tetradecimal (14) 4c81

pentadecimal (15) 3eb1

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ιγυμαʹ
Mayan (base 20): 𝋡·𝋭·𝋬·𝋡
Chinese: 一萬三千四百四十一
Chinese (financial): 壹萬參仟肆佰肆拾壹

In other modern scripts

Eastern Arabic ١٣٤٤١ Devanagari १३४४१ Bengali ১৩৪৪১ Tamil ௧௩௪௪௧ Thai ๑๓๔๔๑ Tibetan ༡༣༤༤༡ Khmer ១៣៤៤១ Lao ໑໓໔໔໑ Burmese ၁၃၄၄၁

Digit at this position in famous constants

π — Pi (π): Digit 13,441 = 2
e — Euler's number (e): Digit 13,441 = 3
φ — Golden ratio (φ): Digit 13,441 = 7
√2 — Pythagoras's (√2): Digit 13,441 = 1
ln 2 — Natural log of 2: Digit 13,441 = 6
γ — Euler-Mascheroni (γ): Digit 13,441 = 5

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,421 (gap of 20)
Next prime: 13,451 (gap of 10)

Unicode codepoint

㒁

CJK Unified Ideograph-3481

U+3481

Other letter (Lo)

UTF-8 encoding: E3 92 81 (3 bytes).

Lookup U+3481 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003481

RGB(0, 52, 129)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.129.

Address: 0.0.52.129
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.52.129

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

Position in π

The digit sequence 13441 first appears in π at position 258,181 of the decimal expansion (the 258,181ordinal-suffix:st 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 13441 on Pi Search ↗