Live analysis

11,364

11,364 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

11,364 (eleven thousand three hundred sixty-four) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 947. Its proper divisors sum to 15,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2C64.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

11,352 11,353 11,354 11,355 11,356 11,357 11,358 11,359 11,360 11,361 11,362 11,363 11,364 11,365 11,366 11,367 11,368 11,369 11,370 11,371 11,372 11,373 11,374 11,375 11,376

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 15
Digit product: 72
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 46,311
Recamán's sequence: a(93,244) = 11,364
Square (n²): 129,140,496
Cube (n³): 1,467,552,596,544
Divisor count: 12
σ(n) — sum of divisors: 26,544
φ(n) — Euler's totient: 3,784
Sum of prime factors: 954

Primality

Prime factorization: 2 ² × 3 × 947

Nearest primes: 11,353 (−11) · 11,369 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 947 · 1894 · 2841 · 3788 · 5682 (half) · 11364

Aliquot sum (sum of proper divisors): 15,180

Factor pairs (a × b = 11,364)

1 × 11364

2 × 5682

3 × 3788

4 × 2841

6 × 1894

12 × 947

First multiples

11,364 · 22,728 (double) · 34,092 · 45,456 · 56,820 · 68,184 · 79,548 · 90,912 · 102,276 · 113,640

Sums & aliquot sequence

As consecutive integers: 3,787 + 3,788 + 3,789 1,417 + 1,418 + … + 1,424 462 + 463 + … + 485

Aliquot sequence: 11,364 → 15,180 → 33,204 → 44,300 → 52,048 → 48,826 → 24,416 → 31,024 → 37,920 → 83,040 → 180,048 → 347,696 → 348,688 → 405,232 → 467,728 → 532,208 → 598,672 — unresolved within range

Continued fraction of √n

√11,364 = [106; (1, 1, 1, 1, 18, 1, 3, 1, 1, 2, 2, 1, 2, 1, 9, 1, 13, 3, 3, 1, 5, 1, 8, 2, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: eleven thousand three hundred sixty-four
Ordinal: 11364th
Binary: 10110001100100
Octal: 26144
Hexadecimal: 0x2C64
Base64: LGQ=
One's complement: 54,171 (16-bit)
Scientific notation: 1.1364 × 10⁴
As a duration: 11,364 s = 3 hours, 9 minutes, 24 seconds

In other bases

ternary (3) 120120220

quaternary (4) 2301210

quinary (5) 330424

senary (6) 124340

septenary (7) 45063

nonary (9) 16526

undecimal (11) 85a1

duodecimal (12) 66b0

tridecimal (13) 5232

tetradecimal (14) 41da

pentadecimal (15) 3579

As an angle

11,364° = 31 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιατξδʹ
Mayan (base 20): 𝋡·𝋨·𝋨·𝋤
Chinese: 一萬一千三百六十四
Chinese (financial): 壹萬壹仟參佰陸拾肆

In other modern scripts

Eastern Arabic ١١٣٦٤ Devanagari ११३६४ Bengali ১১৩৬৪ Tamil ௧௧௩௬௪ Thai ๑๑๓๖๔ Tibetan ༡༡༣༦༤ Khmer ១១៣៦៤ Lao ໑໑໓໖໔ Burmese ၁၁၃၆၄

Digit at this position in famous constants

π — Pi (π): Digit 11,364 = 1
e — Euler's number (e): Digit 11,364 = 6
φ — Golden ratio (φ): Digit 11,364 = 6
√2 — Pythagoras's (√2): Digit 11,364 = 6
ln 2 — Natural log of 2: Digit 11,364 = 3
γ — Euler-Mascheroni (γ): Digit 11,364 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 11364, here are decompositions:

11 + 11353 = 11364
13 + 11351 = 11364
43 + 11321 = 11364
47 + 11317 = 11364
53 + 11311 = 11364
103 + 11261 = 11364
107 + 11257 = 11364
113 + 11251 = 11364

Showing the first eight; more decompositions exist.

Unicode codepoint

Ɽ

Latin Capital Letter R With Tail

U+2C64

Uppercase letter (Lu)

UTF-8 encoding: E2 B1 A4 (3 bytes).

Lookup U+2C64 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002C64

RGB(0, 44, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.44.100.

Address: 0.0.44.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.44.100

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

Musical pitch

Heard as a frequency, 11,364 Hz is closest to:

Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, +29¢)
Scientific pitch (C4 = 256 Hz): F♯9 (11585.2 Hz, -33¢)
Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, +30¢)

Position in π

The digit sequence 11364 first appears in π at position 267,444 of the decimal expansion (the 267,444ordinal-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 11364 on Pi Search ↗