number.wiki
Live analysis

13,320

13,320 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 Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
2,331
Recamán's sequence
a(47,635) = 13,320
Square (n²)
177,422,400
Cube (n³)
2,363,266,368,000
Divisor count
48
σ(n) — sum of divisors
44,460
φ(n) — Euler's totient
3,456
Sum of prime factors
54

Primality

Prime factorization: 2 3 × 3 2 × 5 × 37

Nearest primes: 13,313 (−7) · 13,327 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 30 · 36 · 37 · 40 · 45 · 60 · 72 · 74 · 90 · 111 · 120 · 148 · 180 · 185 · 222 · 296 · 333 · 360 · 370 · 444 · 555 · 666 · 740 · 888 · 1110 · 1332 · 1480 · 1665 · 2220 · 2664 · 3330 · 4440 · 6660 (half) · 13320
Aliquot sum (sum of proper divisors): 31,140
Factor pairs (a × b = 13,320)
1 × 13320
2 × 6660
3 × 4440
4 × 3330
5 × 2664
6 × 2220
8 × 1665
9 × 1480
10 × 1332
12 × 1110
15 × 888
18 × 740
20 × 666
24 × 555
30 × 444
36 × 370
37 × 360
40 × 333
45 × 296
60 × 222
72 × 185
74 × 180
90 × 148
111 × 120
First multiples
13,320 · 26,640 (double) · 39,960 · 53,280 · 66,600 · 79,920 · 93,240 · 106,560 · 119,880 · 133,200

Sums & aliquot sequence

As a sum of two squares: 18² + 114² = 54² + 102²
As consecutive integers: 4,439 + 4,440 + 4,441 2,662 + 2,663 + 2,664 + 2,665 + 2,666 1,476 + 1,477 + … + 1,484 881 + 882 + … + 895
Aliquot sequence: 13,320 31,140 63,864 109,296 247,824 446,142 446,154 518,070 903,498 903,510 1,445,850 3,428,838 5,510,682 6,429,168 11,563,976 10,118,494 5,273,234 — unresolved within range

Representations

In words
thirteen thousand three hundred twenty
Ordinal
13320th
Binary
11010000001000
Octal
32010
Hexadecimal
0x3408
Base64
NAg=
One's complement
52,215 (16-bit)
In other bases
ternary (3) 200021100
quaternary (4) 3100020
quinary (5) 411240
senary (6) 141400
septenary (7) 53556
nonary (9) 20240
undecimal (11) a00a
duodecimal (12) 7860
tridecimal (13) 60a8
tetradecimal (14) 4bd6
pentadecimal (15) 3e30

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ιγτκʹ
Mayan (base 20)
𝋡·𝋭·𝋦·𝋠
Chinese
一萬三千三百二十
Chinese (financial)
壹萬參仟參佰貳拾
In other modern scripts
Eastern Arabic ١٣٣٢٠ Devanagari १३३२० Bengali ১৩৩২০ Tamil ௧௩௩௨௦ Thai ๑๓๓๒๐ Tibetan ༡༣༣༢༠ Khmer ១៣៣២០ Lao ໑໓໓໒໐ Burmese ၁၃၃၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,320 = 9
e — Euler's number (e)
Digit 13,320 = 2
φ — Golden ratio (φ)
Digit 13,320 = 9
√2 — Pythagoras's (√2)
Digit 13,320 = 1
ln 2 — Natural log of 2
Digit 13,320 = 1
γ — Euler-Mascheroni (γ)
Digit 13,320 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13320, here are decompositions:

  • 7 + 13313 = 13320
  • 11 + 13309 = 13320
  • 23 + 13297 = 13320
  • 29 + 13291 = 13320
  • 53 + 13267 = 13320
  • 61 + 13259 = 13320
  • 71 + 13249 = 13320
  • 79 + 13241 = 13320

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3408
U+3408
Other letter (Lo)

UTF-8 encoding: E3 90 88 (3 bytes).

Hex color
#003408
RGB(0, 52, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.8.

Address
0.0.52.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.8

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

Position in π

The digit sequence 13320 first appears in π at position 18,115 of the decimal expansion (the 18,115ordinal-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.