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13,260

13,260 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.).

13,260 (thirteen thousand two hundred sixty) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 13 × 17. Its proper divisors sum to 29,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x33CC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
6,231
Recamán's sequence
a(47,755) = 13,260
Square (n²)
175,827,600
Cube (n³)
2,331,473,976,000
Divisor count
48
σ(n) — sum of divisors
42,336
φ(n) — Euler's totient
3,072
Sum of prime factors
42

Primality

Prime factorization: 2 2 × 3 × 5 × 13 × 17

Nearest primes: 13,259 (−1) · 13,267 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 17 · 20 · 26 · 30 · 34 · 39 · 51 · 52 · 60 · 65 · 68 · 78 · 85 · 102 · 130 · 156 · 170 · 195 · 204 · 221 · 255 · 260 · 340 · 390 · 442 · 510 · 663 · 780 · 884 · 1020 · 1105 · 1326 · 2210 · 2652 · 3315 · 4420 · 6630 (half) · 13260
Aliquot sum (sum of proper divisors): 29,076
Factor pairs (a × b = 13,260)
1 × 13260
2 × 6630
3 × 4420
4 × 3315
5 × 2652
6 × 2210
10 × 1326
12 × 1105
13 × 1020
15 × 884
17 × 780
20 × 663
26 × 510
30 × 442
34 × 390
39 × 340
51 × 260
52 × 255
60 × 221
65 × 204
68 × 195
78 × 170
85 × 156
102 × 130
First multiples
13,260 · 26,520 (double) · 39,780 · 53,040 · 66,300 · 79,560 · 92,820 · 106,080 · 119,340 · 132,600

Sums & aliquot sequence

As consecutive integers: 4,419 + 4,420 + 4,421 2,650 + 2,651 + 2,652 + 2,653 + 2,654 1,654 + 1,655 + … + 1,661 1,014 + 1,015 + … + 1,026
Aliquot sequence: 13,260 29,076 38,796 54,948 80,572 60,436 49,184 52,876 39,664 40,440 81,240 162,840 355,560 711,480 2,017,680 5,136,624 9,239,192 — unresolved within range

Continued fraction of √n

√13,260 = [115; (6, 1, 1, 2, 1, 3, 1, 56, 1, 3, 1, 2, 1, 1, 6, 230)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand two hundred sixty
Ordinal
13260th
Binary
11001111001100
Octal
31714
Hexadecimal
0x33CC
Base64
M8w=
One's complement
52,275 (16-bit)
Scientific notation
1.326 × 10⁴
As a duration
13,260 s = 3 hours, 41 minutes
In other bases
ternary (3) 200012010
quaternary (4) 3033030
quinary (5) 411020
senary (6) 141220
septenary (7) 53442
nonary (9) 20163
undecimal (11) 9a65
duodecimal (12) 7810
tridecimal (13) 6060
tetradecimal (14) 4b92
pentadecimal (15) 3de0

As an angle

13,260° = 36 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγσξʹ
Mayan (base 20)
𝋡·𝋭·𝋣·𝋠
Chinese
一萬三千二百六十
Chinese (financial)
壹萬參仟貳佰陸拾
In other modern scripts
Eastern Arabic ١٣٢٦٠ Devanagari १३२६० Bengali ১৩২৬০ Tamil ௧௩௨௬௦ Thai ๑๓๒๖๐ Tibetan ༡༣༢༦༠ Khmer ១៣២៦០ Lao ໑໓໒໖໐ Burmese ၁၃၂၆၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,260 = 5
e — Euler's number (e)
Digit 13,260 = 0
φ — Golden ratio (φ)
Digit 13,260 = 4
√2 — Pythagoras's (√2)
Digit 13,260 = 6
ln 2 — Natural log of 2
Digit 13,260 = 3
γ — Euler-Mascheroni (γ)
Digit 13,260 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13260, here are decompositions:

  • 11 + 13249 = 13260
  • 19 + 13241 = 13260
  • 31 + 13229 = 13260
  • 41 + 13219 = 13260
  • 43 + 13217 = 13260
  • 73 + 13187 = 13260
  • 83 + 13177 = 13260
  • 89 + 13171 = 13260

Showing the first eight; more decompositions exist.

Unicode codepoint
Square In
U+33CC
Other symbol (So)

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

Hex color
#0033CC
RGB(0, 51, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.204.

Address
0.0.51.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.204

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

Musical pitch

Heard as a frequency, 13,260 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -4¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +34¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -3¢)
Position in π

The digit sequence 13260 first appears in π at position 4,992 of the decimal expansion (the 4,992ordinal-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.

Related reading

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