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13,506

13,506 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 Recamán's Sequence Semiperfect Number Smith Number Sphenic Number Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
60,531
Recamán's sequence
a(47,263) = 13,506
Square (n²)
182,412,036
Cube (n³)
2,463,656,958,216
Divisor count
8
σ(n) — sum of divisors
27,024
φ(n) — Euler's totient
4,500
Sum of prime factors
2,256

Primality

Prime factorization: 2 × 3 × 2251

Nearest primes: 13,499 (−7) · 13,513 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 2251 · 4502 · 6753 (half) · 13506
Aliquot sum (sum of proper divisors): 13,518
Factor pairs (a × b = 13,506)
1 × 13506
2 × 6753
3 × 4502
6 × 2251
First multiples
13,506 · 27,012 (double) · 40,518 · 54,024 · 67,530 · 81,036 · 94,542 · 108,048 · 121,554 · 135,060

Sums & aliquot sequence

As consecutive integers: 4,501 + 4,502 + 4,503 3,375 + 3,376 + 3,377 + 3,378 1,120 + 1,121 + … + 1,131
Aliquot sequence: 13,506 13,518 15,810 25,662 38,850 74,238 74,250 150,390 251,370 569,430 1,085,850 2,009,190 2,812,938 2,832,342 2,832,354 4,540,446 5,842,914 — unresolved within range

Representations

In words
thirteen thousand five hundred six
Ordinal
13506th
Binary
11010011000010
Octal
32302
Hexadecimal
0x34C2
Base64
NMI=
One's complement
52,029 (16-bit)
In other bases
ternary (3) 200112020
quaternary (4) 3103002
quinary (5) 413011
senary (6) 142310
septenary (7) 54243
nonary (9) 20466
undecimal (11) a169
duodecimal (12) 7996
tridecimal (13) 61bc
tetradecimal (14) 4cca
pentadecimal (15) 4006

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγφϛʹ
Mayan (base 20)
𝋡·𝋭·𝋯·𝋦
Chinese
一萬三千五百零六
Chinese (financial)
壹萬參仟伍佰零陸
In other modern scripts
Eastern Arabic ١٣٥٠٦ Devanagari १३५०६ Bengali ১৩৫০৬ Tamil ௧௩௫௦௬ Thai ๑๓๕๐๖ Tibetan ༡༣༥༠༦ Khmer ១៣៥០៦ Lao ໑໓໕໐໖ Burmese ၁၃၅၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 13,506 = 9
e — Euler's number (e)
Digit 13,506 = 0
φ — Golden ratio (φ)
Digit 13,506 = 5
√2 — Pythagoras's (√2)
Digit 13,506 = 0
ln 2 — Natural log of 2
Digit 13,506 = 0
γ — Euler-Mascheroni (γ)
Digit 13,506 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13506, here are decompositions:

  • 7 + 13499 = 13506
  • 19 + 13487 = 13506
  • 29 + 13477 = 13506
  • 37 + 13469 = 13506
  • 43 + 13463 = 13506
  • 89 + 13417 = 13506
  • 107 + 13399 = 13506
  • 109 + 13397 = 13506

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-34C2
U+34C2
Other letter (Lo)

UTF-8 encoding: E3 93 82 (3 bytes).

Hex color
#0034C2
RGB(0, 52, 194)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.194.

Address
0.0.52.194
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.194

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

Position in π

The digit sequence 13506 first appears in π at position 98,579 of the decimal expansion (the 98,579ordinal-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.