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13,780

13,780 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
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
8,731
Recamán's sequence
a(21,156) = 13,780
Square (n²)
189,888,400
Cube (n³)
2,616,662,152,000
Divisor count
24
σ(n) — sum of divisors
31,752
φ(n) — Euler's totient
4,992
Sum of prime factors
75

Primality

Prime factorization: 2 2 × 5 × 13 × 53

Nearest primes: 13,763 (−17) · 13,781 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 13 · 20 · 26 · 52 · 53 · 65 · 106 · 130 · 212 · 260 · 265 · 530 · 689 · 1060 · 1378 · 2756 · 3445 · 6890 (half) · 13780
Aliquot sum (sum of proper divisors): 17,972
Factor pairs (a × b = 13,780)
1 × 13780
2 × 6890
4 × 3445
5 × 2756
10 × 1378
13 × 1060
20 × 689
26 × 530
52 × 265
53 × 260
65 × 212
106 × 130
First multiples
13,780 · 27,560 (double) · 41,340 · 55,120 · 68,900 · 82,680 · 96,460 · 110,240 · 124,020 · 137,800

Sums & aliquot sequence

As a sum of two squares: 18² + 116² = 28² + 114² = 46² + 108² = 82² + 84²
As consecutive integers: 2,754 + 2,755 + 2,756 + 2,757 + 2,758 1,719 + 1,720 + … + 1,726 1,054 + 1,055 + … + 1,066 325 + 326 + … + 364
Aliquot sequence: 13,780 17,972 13,486 8,618 4,822 2,414 1,474 974 490 536 484 447 153 81 40 50 43 — unresolved within range

Representations

In words
thirteen thousand seven hundred eighty
Ordinal
13780th
Binary
11010111010100
Octal
32724
Hexadecimal
0x35D4
Base64
NdQ=
One's complement
51,755 (16-bit)
In other bases
ternary (3) 200220101
quaternary (4) 3113110
quinary (5) 420110
senary (6) 143444
septenary (7) 55114
nonary (9) 20811
undecimal (11) a398
duodecimal (12) 7b84
tridecimal (13) 6370
tetradecimal (14) 5044
pentadecimal (15) 413a

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγψπʹ
Mayan (base 20)
𝋡·𝋮·𝋩·𝋠
Chinese
一萬三千七百八十
Chinese (financial)
壹萬參仟柒佰捌拾
In other modern scripts
Eastern Arabic ١٣٧٨٠ Devanagari १३७८० Bengali ১৩৭৮০ Tamil ௧௩௭௮௦ Thai ๑๓๗๘๐ Tibetan ༡༣༧༨༠ Khmer ១៣៧៨០ Lao ໑໓໗໘໐ Burmese ၁၃၇၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,780 = 1
e — Euler's number (e)
Digit 13,780 = 4
φ — Golden ratio (φ)
Digit 13,780 = 4
√2 — Pythagoras's (√2)
Digit 13,780 = 7
ln 2 — Natural log of 2
Digit 13,780 = 8
γ — Euler-Mascheroni (γ)
Digit 13,780 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13780, here are decompositions:

  • 17 + 13763 = 13780
  • 23 + 13757 = 13780
  • 29 + 13751 = 13780
  • 59 + 13721 = 13780
  • 71 + 13709 = 13780
  • 83 + 13697 = 13780
  • 89 + 13691 = 13780
  • 101 + 13679 = 13780

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-35D4
U+35D4
Other letter (Lo)

UTF-8 encoding: E3 97 94 (3 bytes).

Hex color
#0035D4
RGB(0, 53, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.212.

Address
0.0.53.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.212

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

Position in π

The digit sequence 13780 first appears in π at position 29,335 of the decimal expansion (the 29,335ordinal-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.