Number

11,057

11,057 is a prime, odd.

11,057 (eleven thousand fifty-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2B31.

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

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

11,045 11,046 11,047 11,048 11,049 11,050 11,051 11,052 11,053 11,054 11,055 11,056 11,057 11,058 11,059 11,060 11,061 11,062 11,063 11,064 11,065 11,066 11,067 11,068 11,069

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 75,011
Recamán's sequence: a(174,145) = 11,057
Square (n²): 122,257,249
Cube (n³): 1,351,798,402,193
Divisor count: 2
σ(n) — sum of divisors: 11,058
φ(n) — Euler's totient: 11,056

Primality

11,057 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 11057

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 11,057)

1 × 11057

First multiples

11,057 · 22,114 (double) · 33,171 · 44,228 · 55,285 · 66,342 · 77,399 · 88,456 · 99,513 · 110,570

Sums & aliquot sequence

As a sum of two squares: 56² + 89²

As consecutive integers: 5,528 + 5,529

Continued fraction of √n

√11,057 = [105; (6, 1, 1, 3, 4, 1, 1, 1, 1, 4, 3, 1, 1, 6, 210)]

Period length 15 — the block in parentheses repeats forever.

Representations

In words: eleven thousand fifty-seven
Ordinal: 11057th
Binary: 10101100110001
Octal: 25461
Hexadecimal: 0x2B31
Base64: KzE=
One's complement: 54,478 (16-bit)
Scientific notation: 1.1057 × 10⁴
As a duration: 11,057 s = 3 hours, 4 minutes, 17 seconds

In other bases

ternary (3) 120011112

quaternary (4) 2230301

quinary (5) 323212

senary (6) 123105

septenary (7) 44144

nonary (9) 16145

undecimal (11) 8342

duodecimal (12) 6495

tridecimal (13) 5057

tetradecimal (14) 405b

pentadecimal (15) 3422

Palindromic in base 7

As an angle

11,057° = 30 × 360° + 257°

257° ≈ 4.485 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιανζʹ
Mayan (base 20): 𝋡·𝋧·𝋬·𝋱
Chinese: 一萬一千零五十七
Chinese (financial): 壹萬壹仟零伍拾柒

In other modern scripts

Eastern Arabic ١١٠٥٧ Devanagari ११०५७ Bengali ১১০৫৭ Tamil ௧௧௦௫௭ Thai ๑๑๐๕๗ Tibetan ༡༡༠༥༧ Khmer ១១០៥៧ Lao ໑໑໐໕໗ Burmese ၁၁၀၅၇

Digit at this position in famous constants

π — Pi (π): Digit 11,057 = 4
e — Euler's number (e): Digit 11,057 = 6
φ — Golden ratio (φ): Digit 11,057 = 7
√2 — Pythagoras's (√2): Digit 11,057 = 5
ln 2 — Natural log of 2: Digit 11,057 = 0
γ — Euler-Mascheroni (γ): Digit 11,057 = 7

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 11,047 (gap of 10)
Next prime: 11,059 (gap of 2)

Pair status: twin with 11059.

Unicode codepoint

⬱

Three Leftwards Arrows

U+2B31

Math symbol (Sm)

UTF-8 encoding: E2 AC B1 (3 bytes).

Lookup U+2B31 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002B31

RGB(0, 43, 49)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.43.49.

Address: 0.0.43.49
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.43.49

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

Musical pitch

Heard as a frequency, 11,057 Hz is closest to:

Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -18¢)
Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +19¢)
Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -17¢)

Position in π

The digit sequence 11057 first appears in π at position 84,411 of the decimal expansion (the 84,411ordinal-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 11057 on Pi Search ↗