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13,826

13,826 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.).
Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
62,831
Recamán's sequence
a(21,064) = 13,826
Square (n²)
191,158,276
Cube (n³)
2,642,954,323,976
Divisor count
8
σ(n) — sum of divisors
21,504
φ(n) — Euler's totient
6,660
Sum of prime factors
256

Primality

Prime factorization: 2 × 31 × 223

Nearest primes: 13,807 (−19) · 13,829 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 31 · 62 · 223 · 446 · 6913 (half) · 13826
Aliquot sum (sum of proper divisors): 7,678
Factor pairs (a × b = 13,826)
1 × 13826
2 × 6913
31 × 446
62 × 223
First multiples
13,826 · 27,652 (double) · 41,478 · 55,304 · 69,130 · 82,956 · 96,782 · 110,608 · 124,434 · 138,260

Sums & aliquot sequence

As consecutive integers: 3,455 + 3,456 + 3,457 + 3,458 431 + 432 + … + 461 50 + 51 + … + 173
Aliquot sequence: 13,826 7,678 4,922 2,854 1,430 1,594 800 1,153 1 0 — terminates at zero

Representations

In words
thirteen thousand eight hundred twenty-six
Ordinal
13826th
Binary
11011000000010
Octal
33002
Hexadecimal
0x3602
Base64
NgI=
One's complement
51,709 (16-bit)
In other bases
ternary (3) 200222002
quaternary (4) 3120002
quinary (5) 420301
senary (6) 144002
septenary (7) 55211
nonary (9) 20862
undecimal (11) a42a
duodecimal (12) 8002
tridecimal (13) 63a7
tetradecimal (14) 5078
pentadecimal (15) 416b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγωκϛʹ
Mayan (base 20)
𝋡·𝋮·𝋫·𝋦
Chinese
一萬三千八百二十六
Chinese (financial)
壹萬參仟捌佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٨٢٦ Devanagari १३८२६ Bengali ১৩৮২৬ Tamil ௧௩௮௨௬ Thai ๑๓๘๒๖ Tibetan ༡༣༨༢༦ Khmer ១៣៨២៦ Lao ໑໓໘໒໖ Burmese ၁၃၈၂၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,826 = 5
e — Euler's number (e)
Digit 13,826 = 6
φ — Golden ratio (φ)
Digit 13,826 = 8
√2 — Pythagoras's (√2)
Digit 13,826 = 0
ln 2 — Natural log of 2
Digit 13,826 = 4
γ — Euler-Mascheroni (γ)
Digit 13,826 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13826, here are decompositions:

  • 19 + 13807 = 13826
  • 37 + 13789 = 13826
  • 67 + 13759 = 13826
  • 97 + 13729 = 13826
  • 103 + 13723 = 13826
  • 139 + 13687 = 13826
  • 157 + 13669 = 13826
  • 193 + 13633 = 13826

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3602
U+3602
Other letter (Lo)

UTF-8 encoding: E3 98 82 (3 bytes).

Hex color
#003602
RGB(0, 54, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.2.

Address
0.0.54.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.2

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

Position in π

The digit sequence 13826 first appears in π at position 2,197 of the decimal expansion (the 2,197ordinal-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.