Live analysis

11,264

11,264 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.).

11,264 (eleven thousand two hundred sixty-four) is an even 5-digit number. It is a composite number with 22 divisors, and factors as 2¹⁰ × 11. Its proper divisors sum to 13,300, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2C00.

Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

11,252 11,253 11,254 11,255 11,256 11,257 11,258 11,259 11,260 11,261 11,262 11,263 11,264 11,265 11,266 11,267 11,268 11,269 11,270 11,271 11,272 11,273 11,274 11,275 11,276

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 14
Digit product: 48
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 46,211
Recamán's sequence: a(173,731) = 11,264
Square (n²): 126,877,696
Cube (n³): 1,429,150,367,744
Divisor count: 22
σ(n) — sum of divisors: 24,564
φ(n) — Euler's totient: 5,120
Sum of prime factors: 31

Primality

Prime factorization: 2 ¹⁰ × 11

Nearest primes: 11,261 (−3) · 11,273 (+9)

Divisors & multiples

All divisors (22)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 64 · 88 · 128 · 176 · 256 · 352 · 512 · 704 · 1024 · 1408 · 2816 · 5632 (half) · 11264

Aliquot sum (sum of proper divisors): 13,300

Factor pairs (a × b = 11,264)

1 × 11264

2 × 5632

4 × 2816

8 × 1408

11 × 1024

16 × 704

22 × 512

32 × 352

44 × 256

64 × 176

88 × 128

First multiples

11,264 · 22,528 (double) · 33,792 · 45,056 · 56,320 · 67,584 · 78,848 · 90,112 · 101,376 · 112,640

Sums & aliquot sequence

As consecutive integers: 1,019 + 1,020 + … + 1,029

Aliquot sequence: 11,264 → 13,300 → 21,420 → 57,204 → 108,780 → 255,108 → 425,404 → 425,460 → 937,356 → 1,562,484 → 3,275,916 → 5,621,364 → 10,618,860 → 23,798,292 → 40,549,740 → 104,215,188 → 198,958,956 — unresolved within range

Continued fraction of √n

√11,264 = [106; (7, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 12, 1, 7, 1, 1, 3, 3, 30, 53, 30, 3, 3, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: eleven thousand two hundred sixty-four
Ordinal: 11264th
Binary: 10110000000000
Octal: 26000
Hexadecimal: 0x2C00
Base64: LAA=
One's complement: 54,271 (16-bit)
Scientific notation: 1.1264 × 10⁴
As a duration: 11,264 s = 3 hours, 7 minutes, 44 seconds

In other bases

ternary (3) 120110012

quaternary (4) 2300000

quinary (5) 330024

senary (6) 124052

septenary (7) 44561

nonary (9) 16405

undecimal (11) 8510

duodecimal (12) 6628

tridecimal (13) 5186

tetradecimal (14) 4168

pentadecimal (15) 350e

As an angle

11,264° = 31 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιασξδʹ
Mayan (base 20): 𝋡·𝋨·𝋣·𝋤
Chinese: 一萬一千二百六十四
Chinese (financial): 壹萬壹仟貳佰陸拾肆

In other modern scripts

Eastern Arabic ١١٢٦٤ Devanagari ११२६४ Bengali ১১২৬৪ Tamil ௧௧௨௬௪ Thai ๑๑๒๖๔ Tibetan ༡༡༢༦༤ Khmer ១១២៦៤ Lao ໑໑໒໖໔ Burmese ၁၁၂၆၄

Digit at this position in famous constants

π — Pi (π): Digit 11,264 = 3
e — Euler's number (e): Digit 11,264 = 5
φ — Golden ratio (φ): Digit 11,264 = 8
√2 — Pythagoras's (√2): Digit 11,264 = 2
ln 2 — Natural log of 2: Digit 11,264 = 8
γ — Euler-Mascheroni (γ): Digit 11,264 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 11264, here are decompositions:

3 + 11261 = 11264
7 + 11257 = 11264
13 + 11251 = 11264
67 + 11197 = 11264
103 + 11161 = 11264
151 + 11113 = 11264
181 + 11083 = 11264
193 + 11071 = 11264

Showing the first eight; more decompositions exist.

Unicode codepoint

Ⰰ

Glagolitic Capital Letter Azu

U+2C00

Uppercase letter (Lu)

UTF-8 encoding: E2 B0 80 (3 bytes).

Lookup U+2C00 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002C00

RGB(0, 44, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.44.0.

Address: 0.0.44.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.44.0

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

Musical pitch

Heard as a frequency, 11,264 Hz is closest to:

Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, +14¢)
Scientific pitch (C4 = 256 Hz): F♯9 (11585.2 Hz, -49¢ — about midway to F9)
Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, +15¢)

Position in π

The digit sequence 11264 first appears in π at position 54,461 of the decimal expansion (the 54,461ordinal-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 11264 on Pi Search ↗