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13,770

13,770 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 Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
7,731
Recamán's sequence
a(21,176) = 13,770
Square (n²)
189,612,900
Cube (n³)
2,610,969,633,000
Divisor count
40
σ(n) — sum of divisors
39,204
φ(n) — Euler's totient
3,456
Sum of prime factors
36

Primality

Prime factorization: 2 × 3 4 × 5 × 17

Nearest primes: 13,763 (−7) · 13,781 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 17 · 18 · 27 · 30 · 34 · 45 · 51 · 54 · 81 · 85 · 90 · 102 · 135 · 153 · 162 · 170 · 255 · 270 · 306 · 405 · 459 · 510 · 765 · 810 · 918 · 1377 · 1530 · 2295 · 2754 · 4590 · 6885 (half) · 13770
Aliquot sum (sum of proper divisors): 25,434
Factor pairs (a × b = 13,770)
1 × 13770
2 × 6885
3 × 4590
5 × 2754
6 × 2295
9 × 1530
10 × 1377
15 × 918
17 × 810
18 × 765
27 × 510
30 × 459
34 × 405
45 × 306
51 × 270
54 × 255
81 × 170
85 × 162
90 × 153
102 × 135
First multiples
13,770 · 27,540 (double) · 41,310 · 55,080 · 68,850 · 82,620 · 96,390 · 110,160 · 123,930 · 137,700

Sums & aliquot sequence

As a sum of two squares: 9² + 117² = 63² + 99²
As consecutive integers: 4,589 + 4,590 + 4,591 3,441 + 3,442 + 3,443 + 3,444 2,752 + 2,753 + 2,754 + 2,755 + 2,756 1,526 + 1,527 + … + 1,534
Aliquot sequence: 13,770 25,434 31,920 87,120 234,474 234,486 346,458 463,398 542,370 779,550 1,154,106 1,376,058 1,376,070 1,926,570 2,739,030 4,774,314 5,336,214 — unresolved within range

Representations

In words
thirteen thousand seven hundred seventy
Ordinal
13770th
Binary
11010111001010
Octal
32712
Hexadecimal
0x35CA
Base64
Nco=
One's complement
51,765 (16-bit)
In other bases
ternary (3) 200220000
quaternary (4) 3113022
quinary (5) 420040
senary (6) 143430
septenary (7) 55101
nonary (9) 20800
undecimal (11) a389
duodecimal (12) 7b76
tridecimal (13) 6363
tetradecimal (14) 5038
pentadecimal (15) 4130

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγψοʹ
Mayan (base 20)
𝋡·𝋮·𝋨·𝋪
Chinese
一萬三千七百七十
Chinese (financial)
壹萬參仟柒佰柒拾
In other modern scripts
Eastern Arabic ١٣٧٧٠ Devanagari १३७७० Bengali ১৩৭৭০ Tamil ௧௩௭௭௦ Thai ๑๓๗๗๐ Tibetan ༡༣༧༧༠ Khmer ១៣៧៧០ Lao ໑໓໗໗໐ Burmese ၁၃၇၇၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,770 = 9
e — Euler's number (e)
Digit 13,770 = 5
φ — Golden ratio (φ)
Digit 13,770 = 1
√2 — Pythagoras's (√2)
Digit 13,770 = 1
ln 2 — Natural log of 2
Digit 13,770 = 9
γ — Euler-Mascheroni (γ)
Digit 13,770 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13770, here are decompositions:

  • 7 + 13763 = 13770
  • 11 + 13759 = 13770
  • 13 + 13757 = 13770
  • 19 + 13751 = 13770
  • 41 + 13729 = 13770
  • 47 + 13723 = 13770
  • 59 + 13711 = 13770
  • 61 + 13709 = 13770

Showing the first eight; more decompositions exist.

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

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

Hex color
#0035CA
RGB(0, 53, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.202.

Address
0.0.53.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.202

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000013770
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 13770 first appears in π at position 81,424 of the decimal expansion (the 81,424ordinal-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.