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13,755

13,755 is a composite number, odd.

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.).

13,755 (thirteen thousand seven hundred fifty-five) is an odd 5-digit number. It is a composite number with 16 divisors, and factors as 3 × 5 × 7 × 131. Written other ways, in hexadecimal, 0x35BB.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Happy Number Harshad / Niven Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
21
Digit product
525
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
55,731
Recamán's sequence
a(21,206) = 13,755
Square (n²)
189,200,025
Cube (n³)
2,602,446,343,875
Divisor count
16
σ(n) — sum of divisors
25,344
φ(n) — Euler's totient
6,240
Sum of prime factors
146

Primality

Prime factorization: 3 × 5 × 7 × 131

Nearest primes: 13,751 (−4) · 13,757 (+2)

Divisors & multiples

All divisors (16)
1 · 3 · 5 · 7 · 15 · 21 · 35 · 105 · 131 · 393 · 655 · 917 · 1965 · 2751 · 4585 · 13755
Aliquot sum (sum of proper divisors): 11,589
Factor pairs (a × b = 13,755)
1 × 13755
3 × 4585
5 × 2751
7 × 1965
15 × 917
21 × 655
35 × 393
105 × 131
First multiples
13,755 · 27,510 (double) · 41,265 · 55,020 · 68,775 · 82,530 · 96,285 · 110,040 · 123,795 · 137,550

Sums & aliquot sequence

As consecutive integers: 6,877 + 6,878 4,584 + 4,585 + 4,586 2,749 + 2,750 + 2,751 + 2,752 + 2,753 2,290 + 2,291 + 2,292 + 2,293 + 2,294 + 2,295
Aliquot sequence: 13,755 11,589 3,867 1,293 435 285 195 141 51 21 11 1 0 — terminates at zero

Continued fraction of √n

√13,755 = [117; (3, 1, 1, 4, 1, 1, 8, 2, 8, 1, 1, 4, 1, 1, 3, 234)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand seven hundred fifty-five
Ordinal
13755th
Binary
11010110111011
Octal
32673
Hexadecimal
0x35BB
Base64
Nbs=
One's complement
51,780 (16-bit)
Scientific notation
1.3755 × 10⁴
As a duration
13,755 s = 3 hours, 49 minutes, 15 seconds
In other bases
ternary (3) 200212110
quaternary (4) 3112323
quinary (5) 420010
senary (6) 143403
septenary (7) 55050
nonary (9) 20773
undecimal (11) a375
duodecimal (12) 7b63
tridecimal (13) 6351
tetradecimal (14) 5027
pentadecimal (15) 4120

As an angle

13,755° = 38 × 360° + 75°
75° ≈ 1.309 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγψνεʹ
Mayan (base 20)
𝋡·𝋮·𝋧·𝋯
Chinese
一萬三千七百五十五
Chinese (financial)
壹萬參仟柒佰伍拾伍
In other modern scripts
Eastern Arabic ١٣٧٥٥ Devanagari १३७५५ Bengali ১৩৭৫৫ Tamil ௧௩௭௫௫ Thai ๑๓๗๕๕ Tibetan ༡༣༧༥༥ Khmer ១៣៧៥៥ Lao ໑໓໗໕໕ Burmese ၁၃၇၅၅

Digit at this position in famous constants

π — Pi (π)
Digit 13,755 = 0
e — Euler's number (e)
Digit 13,755 = 5
φ — Golden ratio (φ)
Digit 13,755 = 1
√2 — Pythagoras's (√2)
Digit 13,755 = 3
ln 2 — Natural log of 2
Digit 13,755 = 5
γ — Euler-Mascheroni (γ)
Digit 13,755 = 5

Also seen as

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

UTF-8 encoding: E3 96 BB (3 bytes).

Hex color
#0035BB
RGB(0, 53, 187)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.187.

Address
0.0.53.187
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.187

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

Musical pitch

Heard as a frequency, 13,755 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -40¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -3¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -39¢)
Position in π

The digit sequence 13755 first appears in π at position 9,345 of the decimal expansion (the 9,345ordinal-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.

Related reading

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