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11,424

11,424 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.).

11,424 (eleven thousand four hundred twenty-four) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 7 × 17. Its proper divisors sum to 24,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2CA0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Zuckerman Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
32
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
42,411
Recamán's sequence
a(93,124) = 11,424
Square (n²)
130,507,776
Cube (n³)
1,490,920,833,024
Divisor count
48
σ(n) — sum of divisors
36,288
φ(n) — Euler's totient
3,072
Sum of prime factors
37

Primality

Prime factorization: 2 5 × 3 × 7 × 17

Nearest primes: 11,423 (−1) · 11,437 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 17 · 21 · 24 · 28 · 32 · 34 · 42 · 48 · 51 · 56 · 68 · 84 · 96 · 102 · 112 · 119 · 136 · 168 · 204 · 224 · 238 · 272 · 336 · 357 · 408 · 476 · 544 · 672 · 714 · 816 · 952 · 1428 · 1632 · 1904 · 2856 · 3808 · 5712 (half) · 11424
Aliquot sum (sum of proper divisors): 24,864
Factor pairs (a × b = 11,424)
1 × 11424
2 × 5712
3 × 3808
4 × 2856
6 × 1904
7 × 1632
8 × 1428
12 × 952
14 × 816
16 × 714
17 × 672
21 × 544
24 × 476
28 × 408
32 × 357
34 × 336
42 × 272
48 × 238
51 × 224
56 × 204
68 × 168
84 × 136
96 × 119
102 × 112
First multiples
11,424 · 22,848 (double) · 34,272 · 45,696 · 57,120 · 68,544 · 79,968 · 91,392 · 102,816 · 114,240

Sums & aliquot sequence

As consecutive integers: 3,807 + 3,808 + 3,809 1,629 + 1,630 + … + 1,635 664 + 665 + … + 680 534 + 535 + … + 554
Aliquot sequence: 11,424 24,864 51,744 120,624 236,496 423,184 396,766 201,338 100,672 135,802 67,904 66,970 57,518 28,762 15,194 8,134 6,230 — unresolved within range

Continued fraction of √n

√11,424 = [106; (1, 7, 1, 1, 4, 53, 4, 1, 1, 7, 1, 212)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
eleven thousand four hundred twenty-four
Ordinal
11424th
Binary
10110010100000
Octal
26240
Hexadecimal
0x2CA0
Base64
LKA=
One's complement
54,111 (16-bit)
Scientific notation
1.1424 × 10⁴
As a duration
11,424 s = 3 hours, 10 minutes, 24 seconds
In other bases
ternary (3) 120200010
quaternary (4) 2302200
quinary (5) 331144
senary (6) 124520
septenary (7) 45210
nonary (9) 16603
undecimal (11) 8646
duodecimal (12) 6740
tridecimal (13) 527a
tetradecimal (14) 4240
pentadecimal (15) 35b9

As an angle

11,424° = 31 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιαυκδʹ
Mayan (base 20)
𝋡·𝋨·𝋫·𝋤
Chinese
一萬一千四百二十四
Chinese (financial)
壹萬壹仟肆佰貳拾肆
In other modern scripts
Eastern Arabic ١١٤٢٤ Devanagari ११४२४ Bengali ১১৪২৪ Tamil ௧௧௪௨௪ Thai ๑๑๔๒๔ Tibetan ༡༡༤༢༤ Khmer ១១៤២៤ Lao ໑໑໔໒໔ Burmese ၁၁၄၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 11,424 = 0
e — Euler's number (e)
Digit 11,424 = 2
φ — Golden ratio (φ)
Digit 11,424 = 4
√2 — Pythagoras's (√2)
Digit 11,424 = 7
ln 2 — Natural log of 2
Digit 11,424 = 4
γ — Euler-Mascheroni (γ)
Digit 11,424 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 11424, here are decompositions:

  • 13 + 11411 = 11424
  • 31 + 11393 = 11424
  • 41 + 11383 = 11424
  • 71 + 11353 = 11424
  • 73 + 11351 = 11424
  • 103 + 11321 = 11424
  • 107 + 11317 = 11424
  • 113 + 11311 = 11424

Showing the first eight; more decompositions exist.

Unicode codepoint
Coptic Capital Letter Pi
U+2CA0
Uppercase letter (Lu)

UTF-8 encoding: E2 B2 A0 (3 bytes).

Hex color
#002CA0
RGB(0, 44, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.44.160.

Address
0.0.44.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.44.160

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

Musical pitch

Heard as a frequency, 11,424 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, +38¢)
  • Scientific pitch (C4 = 256 Hz): F♯9 (11585.2 Hz, -24¢)
  • Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, +39¢)
Position in π

The digit sequence 11424 first appears in π at position 226,483 of the decimal expansion (the 226,483ordinal-suffix:rd 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.