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13,857

13,857 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.).

13,857 (thirteen thousand eight hundred fifty-seven) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 3 × 31 × 149. Written other ways, in hexadecimal, 0x3621.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
24
Digit product
840
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
75,831
Recamán's sequence
a(21,002) = 13,857
Square (n²)
192,016,449
Cube (n³)
2,660,771,933,793
Divisor count
8
σ(n) — sum of divisors
19,200
φ(n) — Euler's totient
8,880
Sum of prime factors
183

Primality

Prime factorization: 3 × 31 × 149

Nearest primes: 13,841 (−16) · 13,859 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 31 · 93 · 149 · 447 · 4619 · 13857
Aliquot sum (sum of proper divisors): 5,343
Factor pairs (a × b = 13,857)
1 × 13857
3 × 4619
31 × 447
93 × 149
First multiples
13,857 · 27,714 (double) · 41,571 · 55,428 · 69,285 · 83,142 · 96,999 · 110,856 · 124,713 · 138,570

Sums & aliquot sequence

As consecutive integers: 6,928 + 6,929 4,618 + 4,619 + 4,620 2,307 + 2,308 + 2,309 + 2,310 + 2,311 + 2,312 432 + 433 + … + 462
Aliquot sequence: 13,857 5,343 2,385 1,827 1,293 435 285 195 141 51 21 11 1 0 — terminates at zero

Continued fraction of √n

√13,857 = [117; (1, 2, 1, 1, 13, 3, 1, 1, 1, 1, 7, 1, 1, 33, 9, 1, 3, 1, 1, 5, 2, 11, 1, 13, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand eight hundred fifty-seven
Ordinal
13857th
Binary
11011000100001
Octal
33041
Hexadecimal
0x3621
Base64
NiE=
One's complement
51,678 (16-bit)
Scientific notation
1.3857 × 10⁴
As a duration
13,857 s = 3 hours, 50 minutes, 57 seconds
In other bases
ternary (3) 201000020
quaternary (4) 3120201
quinary (5) 420412
senary (6) 144053
septenary (7) 55254
nonary (9) 21006
undecimal (11) a458
duodecimal (12) 8029
tridecimal (13) 63cc
tetradecimal (14) 509b
pentadecimal (15) 418c

As an angle

13,857° = 38 × 360° + 177°
177° ≈ 3.089 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγωνζʹ
Mayan (base 20)
𝋡·𝋮·𝋬·𝋱
Chinese
一萬三千八百五十七
Chinese (financial)
壹萬參仟捌佰伍拾柒
In other modern scripts
Eastern Arabic ١٣٨٥٧ Devanagari १३८५७ Bengali ১৩৮৫৭ Tamil ௧௩௮௫௭ Thai ๑๓๘๕๗ Tibetan ༡༣༨༥༧ Khmer ១៣៨៥៧ Lao ໑໓໘໕໗ Burmese ၁၃၈၅၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,857 = 4
e — Euler's number (e)
Digit 13,857 = 3
φ — Golden ratio (φ)
Digit 13,857 = 3
√2 — Pythagoras's (√2)
Digit 13,857 = 3
ln 2 — Natural log of 2
Digit 13,857 = 8
γ — Euler-Mascheroni (γ)
Digit 13,857 = 7

Also seen as

Unicode codepoint
CJK Unified Ideograph-3621
U+3621
Other letter (Lo)

UTF-8 encoding: E3 98 A1 (3 bytes).

Hex color
#003621
RGB(0, 54, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.33.

Address
0.0.54.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.33

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

Musical pitch

Heard as a frequency, 13,857 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -28¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +10¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -26¢)
Position in π

The digit sequence 13857 first appears in π at position 51,096 of the decimal expansion (the 51,096ordinal-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°.