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13,801

13,801 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.).

13,801 (thirteen thousand eight hundred one) is an odd 5-digit number. It is a composite number with 4 divisors, and factors as 37 × 373. Written other ways, in hexadecimal, 0x35E9.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
10,831
Recamán's sequence
a(21,114) = 13,801
Square (n²)
190,467,601
Cube (n³)
2,628,643,361,401
Divisor count
4
σ(n) — sum of divisors
14,212
φ(n) — Euler's totient
13,392
Sum of prime factors
410

Primality

Prime factorization: 37 × 373

Nearest primes: 13,799 (−2) · 13,807 (+6)

Divisors & multiples

All divisors (4)
1 · 37 · 373 · 13801
Aliquot sum (sum of proper divisors): 411
Factor pairs (a × b = 13,801)
1 × 13801
37 × 373
First multiples
13,801 · 27,602 (double) · 41,403 · 55,204 · 69,005 · 82,806 · 96,607 · 110,408 · 124,209 · 138,010

Sums & aliquot sequence

As a sum of two squares: 24² + 115² = 60² + 101²
As consecutive integers: 6,900 + 6,901 355 + 356 + … + 391 150 + 151 + … + 223
Aliquot sequence: 13,801 411 141 51 21 11 1 0 — terminates at zero

Continued fraction of √n

√13,801 = [117; (2, 10, 1, 2, 4, 1, 1, 4, 2, 1, 10, 2, 234)]

Period length 13 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand eight hundred one
Ordinal
13801st
Binary
11010111101001
Octal
32751
Hexadecimal
0x35E9
Base64
Nek=
One's complement
51,734 (16-bit)
Scientific notation
1.3801 × 10⁴
As a duration
13,801 s = 3 hours, 50 minutes, 1 second
In other bases
ternary (3) 200221011
quaternary (4) 3113221
quinary (5) 420201
senary (6) 143521
septenary (7) 55144
nonary (9) 20834
undecimal (11) a407
duodecimal (12) 7ba1
tridecimal (13) 6388
tetradecimal (14) 505b
pentadecimal (15) 4151

As an angle

13,801° = 38 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ιγωαʹ
Mayan (base 20)
𝋡·𝋮·𝋪·𝋡
Chinese
一萬三千八百零一
Chinese (financial)
壹萬參仟捌佰零壹
In other modern scripts
Eastern Arabic ١٣٨٠١ Devanagari १३८०१ Bengali ১৩৮০১ Tamil ௧௩௮௦௧ Thai ๑๓๘๐๑ Tibetan ༡༣༨༠༡ Khmer ១៣៨០១ Lao ໑໓໘໐໑ Burmese ၁၃၈၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,801 = 8
e — Euler's number (e)
Digit 13,801 = 4
φ — Golden ratio (φ)
Digit 13,801 = 2
√2 — Pythagoras's (√2)
Digit 13,801 = 3
ln 2 — Natural log of 2
Digit 13,801 = 2
γ — Euler-Mascheroni (γ)
Digit 13,801 = 5

Also seen as

Unicode codepoint
CJK Unified Ideograph-35E9
U+35E9
Other letter (Lo)

UTF-8 encoding: E3 97 A9 (3 bytes).

Hex color
#0035E9
RGB(0, 53, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.233.

Address
0.0.53.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.233

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

Musical pitch

Heard as a frequency, 13,801 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -35¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +3¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -33¢)
Position in π

The digit sequence 13801 first appears in π at position 53,526 of the decimal expansion (the 53,526ordinal-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