Number

5,381

5,381 is a prime, odd.

5,381 (five thousand three hundred eighty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1505.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

5,369 5,370 5,371 5,372 5,373 5,374 5,375 5,376 5,377 5,378 5,379 5,380 5,381 5,382 5,383 5,384 5,385 5,386 5,387 5,388 5,389 5,390 5,391 5,392 5,393

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 17
Digit product: 120
Digital root: 8
Palindrome: No
Bit width: 13 bits
Reversed: 1,835
Recamán's sequence: a(2,554) = 5,381
Square (n²): 28,955,161
Cube (n³): 155,807,721,341
Divisor count: 2
σ(n) — sum of divisors: 5,382
φ(n) — Euler's totient: 5,380

Primality

5,381 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 5381

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 5,381)

1 × 5381

First multiples

5,381 · 10,762 (double) · 16,143 · 21,524 · 26,905 · 32,286 · 37,667 · 43,048 · 48,429 · 53,810

Sums & aliquot sequence

As a sum of two squares: 34² + 65²

As consecutive integers: 2,690 + 2,691

Continued fraction of √n

√5,381 = [73; (2, 1, 4, 2, 1, 1, 4, 7, 8, 2, 28, 1, 6, 1, 3, 11, 36, 1, 1, 2, 3, 5, 1, 1, …)]

Representations

In words: five thousand three hundred eighty-one
Ordinal: 5381st
Binary: 1010100000101
Octal: 12405
Hexadecimal: 0x1505
Base64: FQU=
One's complement: 60,154 (16-bit)
Scientific notation: 5.381 × 10³
As a duration: 5,381 s = 1 hour, 29 minutes, 41 seconds

In other bases

ternary (3) 21101022

quaternary (4) 1110011

quinary (5) 133011

senary (6) 40525

septenary (7) 21455

nonary (9) 7338

undecimal (11) 4052

duodecimal (12) 3145

tridecimal (13) 25ac

tetradecimal (14) 1d65

pentadecimal (15) 18db

As an angle

5,381° = 14 × 360° + 341°

341° ≈ 5.952 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ετπαʹ
Mayan (base 20): 𝋭·𝋩·𝋡
Chinese: 五千三百八十一
Chinese (financial): 伍仟參佰捌拾壹

In other modern scripts

Eastern Arabic ٥٣٨١ Devanagari ५३८१ Bengali ৫৩৮১ Tamil ௫௩௮௧ Thai ๕๓๘๑ Tibetan ༥༣༨༡ Khmer ៥៣៨១ Lao ໕໓໘໑ Burmese ၅၃၈၁

Digit at this position in famous constants

π — Pi (π): Digit 5,381 = 9
e — Euler's number (e): Digit 5,381 = 1
φ — Golden ratio (φ): Digit 5,381 = 4
√2 — Pythagoras's (√2): Digit 5,381 = 2
ln 2 — Natural log of 2: Digit 5,381 = 9
γ — Euler-Mascheroni (γ): Digit 5,381 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 5,351 (gap of 30)
Next prime: 5,387 (gap of 6)

Pair status: sexy with 5387.

Unicode codepoint

ᔅ

Canadian Syllabics S

U+1505

Other letter (Lo)

UTF-8 encoding: E1 94 85 (3 bytes).

Lookup U+1505 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001505

RGB(0, 21, 5)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.21.5.

Address: 0.0.21.5
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.21.5

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

Musical pitch

Heard as a frequency, 5,381 Hz is closest to:

Concert pitch (A4 = 440 Hz): E8 (5274 Hz, +35¢)
Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, -28¢)
Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, +36¢)

Position in π

The digit sequence 5381 first appears in π at position 5,037 of the decimal expansion (the 5,037ordinal-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 5381 on Pi Search ↗