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13,580

13,580 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 Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
8,531
Recamán's sequence
a(3,932) = 13,580
Square (n²)
184,416,400
Cube (n³)
2,504,374,712,000
Divisor count
24
σ(n) — sum of divisors
32,928
φ(n) — Euler's totient
4,608
Sum of prime factors
113

Primality

Prime factorization: 2 2 × 5 × 7 × 97

Nearest primes: 13,577 (−3) · 13,591 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 70 · 97 · 140 · 194 · 388 · 485 · 679 · 970 · 1358 · 1940 · 2716 · 3395 · 6790 (half) · 13580
Aliquot sum (sum of proper divisors): 19,348
Factor pairs (a × b = 13,580)
1 × 13580
2 × 6790
4 × 3395
5 × 2716
7 × 1940
10 × 1358
14 × 970
20 × 679
28 × 485
35 × 388
70 × 194
97 × 140
First multiples
13,580 · 27,160 (double) · 40,740 · 54,320 · 67,900 · 81,480 · 95,060 · 108,640 · 122,220 · 135,800

Sums & aliquot sequence

As consecutive integers: 2,714 + 2,715 + 2,716 + 2,717 + 2,718 1,937 + 1,938 + … + 1,943 1,694 + 1,695 + … + 1,701 371 + 372 + … + 405
Aliquot sequence: 13,580 19,348 19,404 42,840 125,640 283,860 633,420 1,562,004 2,535,180 5,206,260 9,371,436 12,495,276 20,190,804 26,921,100 55,087,540 60,803,732 56,587,948 — unresolved within range

Representations

In words
thirteen thousand five hundred eighty
Ordinal
13580th
Binary
11010100001100
Octal
32414
Hexadecimal
0x350C
Base64
NQw=
One's complement
51,955 (16-bit)
In other bases
ternary (3) 200121222
quaternary (4) 3110030
quinary (5) 413310
senary (6) 142512
septenary (7) 54410
nonary (9) 20558
undecimal (11) a226
duodecimal (12) 7a38
tridecimal (13) 6248
tetradecimal (14) 4d40
pentadecimal (15) 4055

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγφπʹ
Mayan (base 20)
𝋡·𝋭·𝋳·𝋠
Chinese
一萬三千五百八十
Chinese (financial)
壹萬參仟伍佰捌拾
In other modern scripts
Eastern Arabic ١٣٥٨٠ Devanagari १३५८० Bengali ১৩৫৮০ Tamil ௧௩௫௮௦ Thai ๑๓๕๘๐ Tibetan ༡༣༥༨༠ Khmer ១៣៥៨០ Lao ໑໓໕໘໐ Burmese ၁၃၅၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,580 = 6
e — Euler's number (e)
Digit 13,580 = 6
φ — Golden ratio (φ)
Digit 13,580 = 0
√2 — Pythagoras's (√2)
Digit 13,580 = 3
ln 2 — Natural log of 2
Digit 13,580 = 2
γ — Euler-Mascheroni (γ)
Digit 13,580 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13580, here are decompositions:

  • 3 + 13577 = 13580
  • 13 + 13567 = 13580
  • 43 + 13537 = 13580
  • 67 + 13513 = 13580
  • 103 + 13477 = 13580
  • 139 + 13441 = 13580
  • 163 + 13417 = 13580
  • 181 + 13399 = 13580

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-350C
U+350C
Other letter (Lo)

UTF-8 encoding: E3 94 8C (3 bytes).

Hex color
#00350C
RGB(0, 53, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.12.

Address
0.0.53.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.12

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

Position in π

The digit sequence 13580 first appears in π at position 187,952 of the decimal expansion (the 187,952ordinal-suffix:nd 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.