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13,024

13,024 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.).
Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
42,031
Recamán's sequence
a(48,227) = 13,024
Square (n²)
169,624,576
Cube (n³)
2,209,190,477,824
Divisor count
24
σ(n) — sum of divisors
28,728
φ(n) — Euler's totient
5,760
Sum of prime factors
58

Primality

Prime factorization: 2 5 × 11 × 37

Nearest primes: 13,009 (−15) · 13,033 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 37 · 44 · 74 · 88 · 148 · 176 · 296 · 352 · 407 · 592 · 814 · 1184 · 1628 · 3256 · 6512 (half) · 13024
Aliquot sum (sum of proper divisors): 15,704
Factor pairs (a × b = 13,024)
1 × 13024
2 × 6512
4 × 3256
8 × 1628
11 × 1184
16 × 814
22 × 592
32 × 407
37 × 352
44 × 296
74 × 176
88 × 148
First multiples
13,024 · 26,048 (double) · 39,072 · 52,096 · 65,120 · 78,144 · 91,168 · 104,192 · 117,216 · 130,240

Sums & aliquot sequence

As consecutive integers: 1,179 + 1,180 + … + 1,189 334 + 335 + … + 370 172 + 173 + … + 235
Aliquot sequence: 13,024 15,704 16,216 14,204 11,500 14,708 11,038 5,522 3,550 3,146 2,440 3,140 3,496 3,704 3,256 3,584 4,600 — unresolved within range

Representations

In words
thirteen thousand twenty-four
Ordinal
13024th
Binary
11001011100000
Octal
31340
Hexadecimal
0x32E0
Base64
MuA=
One's complement
52,511 (16-bit)
In other bases
ternary (3) 122212101
quaternary (4) 3023200
quinary (5) 404044
senary (6) 140144
septenary (7) 52654
nonary (9) 18771
undecimal (11) 9870
duodecimal (12) 7654
tridecimal (13) 5c0b
tetradecimal (14) 4a64
pentadecimal (15) 3cd4

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγκδʹ
Mayan (base 20)
𝋡·𝋬·𝋫·𝋤
Chinese
一萬三千零二十四
Chinese (financial)
壹萬參仟零貳拾肆
In other modern scripts
Eastern Arabic ١٣٠٢٤ Devanagari १३०२४ Bengali ১৩০২৪ Tamil ௧௩௦௨௪ Thai ๑๓๐๒๔ Tibetan ༡༣༠༢༤ Khmer ១៣០២៤ Lao ໑໓໐໒໔ Burmese ၁၃၀၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,024 = 8
e — Euler's number (e)
Digit 13,024 = 1
φ — Golden ratio (φ)
Digit 13,024 = 5
√2 — Pythagoras's (√2)
Digit 13,024 = 5
ln 2 — Natural log of 2
Digit 13,024 = 9
γ — Euler-Mascheroni (γ)
Digit 13,024 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13024, here are decompositions:

  • 17 + 13007 = 13024
  • 23 + 13001 = 13024
  • 41 + 12983 = 13024
  • 71 + 12953 = 13024
  • 83 + 12941 = 13024
  • 101 + 12923 = 13024
  • 107 + 12917 = 13024
  • 113 + 12911 = 13024

Showing the first eight; more decompositions exist.

Unicode codepoint
Circled Katakana Ti
U+32E0
Other symbol (So)

UTF-8 encoding: E3 8B A0 (3 bytes).

Hex color
#0032E0
RGB(0, 50, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.224.

Address
0.0.50.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.224

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

Position in π

The digit sequence 13024 first appears in π at position 166,014 of the decimal expansion (the 166,014ordinal-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.