Live analysis

13,890

13,890 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.).

13,890 (thirteen thousand eight hundred ninety) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 463. Its proper divisors sum to 19,518, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3642.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

13,878 13,879 13,880 13,881 13,882 13,883 13,884 13,885 13,886 13,887 13,888 13,889 13,890 13,891 13,892 13,893 13,894 13,895 13,896 13,897 13,898 13,899 13,900 13,901 13,902

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 9,831
Recamán's sequence: a(20,936) = 13,890
Square (n²): 192,932,100
Cube (n³): 2,679,826,869,000
Divisor count: 16
σ(n) — sum of divisors: 33,408
φ(n) — Euler's totient: 3,696
Sum of prime factors: 473

Primality

Prime factorization: 2 × 3 × 5 × 463

Nearest primes: 13,883 (−7) · 13,901 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 463 · 926 · 1389 · 2315 · 2778 · 4630 · 6945 (half) · 13890

Aliquot sum (sum of proper divisors): 19,518

Factor pairs (a × b = 13,890)

1 × 13890

2 × 6945

3 × 4630

5 × 2778

6 × 2315

10 × 1389

15 × 926

30 × 463

First multiples

13,890 · 27,780 (double) · 41,670 · 55,560 · 69,450 · 83,340 · 97,230 · 111,120 · 125,010 · 138,900

Sums & aliquot sequence

As consecutive integers: 4,629 + 4,630 + 4,631 3,471 + 3,472 + 3,473 + 3,474 2,776 + 2,777 + 2,778 + 2,779 + 2,780 1,152 + 1,153 + … + 1,163

Aliquot sequence: 13,890 → 19,518 → 19,530 → 40,374 → 47,142 → 59,874 → 67,134 → 69,954 → 72,606 → 72,618 → 118,902 → 169,098 → 169,110 → 270,810 → 506,790 → 845,370 → 1,504,710 — unresolved within range

Continued fraction of √n

√13,890 = [117; (1, 5, 1, 14, 1, 5, 1, 234)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand eight hundred ninety
Ordinal: 13890th
Binary: 11011001000010
Octal: 33102
Hexadecimal: 0x3642
Base64: NkI=
One's complement: 51,645 (16-bit)
Scientific notation: 1.389 × 10⁴
As a duration: 13,890 s = 3 hours, 51 minutes, 30 seconds

In other bases

ternary (3) 201001110

quaternary (4) 3121002

quinary (5) 421030

senary (6) 144150

septenary (7) 55332

nonary (9) 21043

undecimal (11) a488

duodecimal (12) 8056

tridecimal (13) 6426

tetradecimal (14) 50c2

pentadecimal (15) 41b0

As an angle

13,890° = 38 × 360° + 210°

210° ≈ 3.665 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ιγωϟʹ
Mayan (base 20): 𝋡·𝋮·𝋮·𝋪
Chinese: 一萬三千八百九十
Chinese (financial): 壹萬參仟捌佰玖拾

In other modern scripts

Eastern Arabic ١٣٨٩٠ Devanagari १३८९० Bengali ১৩৮৯০ Tamil ௧௩௮௯௦ Thai ๑๓๘๙๐ Tibetan ༡༣༨༩༠ Khmer ១៣៨៩០ Lao ໑໓໘໙໐ Burmese ၁၃၈၉၀

Digit at this position in famous constants

π — Pi (π): Digit 13,890 = 3
e — Euler's number (e): Digit 13,890 = 3
φ — Golden ratio (φ): Digit 13,890 = 5
√2 — Pythagoras's (√2): Digit 13,890 = 6
ln 2 — Natural log of 2: Digit 13,890 = 0
γ — Euler-Mascheroni (γ): Digit 13,890 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13890, here are decompositions:

7 + 13883 = 13890
11 + 13879 = 13890
13 + 13877 = 13890
17 + 13873 = 13890
31 + 13859 = 13890
59 + 13831 = 13890
61 + 13829 = 13890
83 + 13807 = 13890

Showing the first eight; more decompositions exist.

Unicode codepoint

㙂

CJK Unified Ideograph-3642

U+3642

Other letter (Lo)

UTF-8 encoding: E3 99 82 (3 bytes).

Lookup U+3642 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003642

RGB(0, 54, 66)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.66.

Address: 0.0.54.66
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.54.66

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

Musical pitch

Heard as a frequency, 13,890 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -24¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +14¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -22¢)

Position in π

The digit sequence 13890 first appears in π at position 1,967 of the decimal expansion (the 1,967ordinal-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.

Look up 13890 on Pi Search ↗