Live analysis

13,842

13,842 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.).

13,842 (thirteen thousand eight hundred forty-two) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 769. Its proper divisors sum to 16,188, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3612.

Abundant Number Cube-Free Evil Number Happy Number Harshad / Niven Moran Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

13,830 13,831 13,832 13,833 13,834 13,835 13,836 13,837 13,838 13,839 13,840 13,841 13,842 13,843 13,844 13,845 13,846 13,847 13,848 13,849 13,850 13,851 13,852 13,853 13,854

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 192
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 24,831
Recamán's sequence: a(21,032) = 13,842
Square (n²): 191,600,964
Cube (n³): 2,652,140,543,688
Divisor count: 12
σ(n) — sum of divisors: 30,030
φ(n) — Euler's totient: 4,608
Sum of prime factors: 777

Primality

Prime factorization: 2 × 3 ² × 769

Nearest primes: 13,841 (−1) · 13,859 (+17)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 769 · 1538 · 2307 · 4614 · 6921 (half) · 13842

Aliquot sum (sum of proper divisors): 16,188

Factor pairs (a × b = 13,842)

1 × 13842

2 × 6921

3 × 4614

6 × 2307

9 × 1538

18 × 769

First multiples

13,842 · 27,684 (double) · 41,526 · 55,368 · 69,210 · 83,052 · 96,894 · 110,736 · 124,578 · 138,420

Sums & aliquot sequence

As a sum of two squares: 39² + 111²

As consecutive integers: 4,613 + 4,614 + 4,615 3,459 + 3,460 + 3,461 + 3,462 1,534 + 1,535 + … + 1,542 1,148 + 1,149 + … + 1,159

Aliquot sequence: 13,842 → 16,188 → 24,132 → 32,204 → 25,420 → 31,028 → 23,278 → 12,290 → 9,850 → 8,564 → 6,430 → 5,162 → 2,938 → 1,850 → 1,684 → 1,270 → 1,034 — unresolved within range

Continued fraction of √n

√13,842 = [117; (1, 1, 1, 6, 1, 12, 4, 1, 13, 26, 13, 1, 4, 12, 1, 6, 1, 1, 1, 234)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand eight hundred forty-two
Ordinal: 13842nd
Binary: 11011000010010
Octal: 33022
Hexadecimal: 0x3612
Base64: NhI=
One's complement: 51,693 (16-bit)
Scientific notation: 1.3842 × 10⁴
As a duration: 13,842 s = 3 hours, 50 minutes, 42 seconds

In other bases

ternary (3) 200222200

quaternary (4) 3120102

quinary (5) 420332

senary (6) 144030

septenary (7) 55233

nonary (9) 20880

undecimal (11) a444

duodecimal (12) 8016

tridecimal (13) 63ba

tetradecimal (14) 508a

pentadecimal (15) 417c

As an angle

13,842° = 38 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ιγωμβʹ
Mayan (base 20): 𝋡·𝋮·𝋬·𝋢
Chinese: 一萬三千八百四十二
Chinese (financial): 壹萬參仟捌佰肆拾貳

In other modern scripts

Eastern Arabic ١٣٨٤٢ Devanagari १३८४२ Bengali ১৩৮৪২ Tamil ௧௩௮௪௨ Thai ๑๓๘๔๒ Tibetan ༡༣༨༤༢ Khmer ១៣៨៤២ Lao ໑໓໘໔໒ Burmese ၁၃၈၄၂

Digit at this position in famous constants

π — Pi (π): Digit 13,842 = 5
e — Euler's number (e): Digit 13,842 = 3
φ — Golden ratio (φ): Digit 13,842 = 9
√2 — Pythagoras's (√2): Digit 13,842 = 7
ln 2 — Natural log of 2: Digit 13,842 = 8
γ — Euler-Mascheroni (γ): Digit 13,842 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13842, here are decompositions:

11 + 13831 = 13842
13 + 13829 = 13842
43 + 13799 = 13842
53 + 13789 = 13842
61 + 13781 = 13842
79 + 13763 = 13842
83 + 13759 = 13842
113 + 13729 = 13842

Showing the first eight; more decompositions exist.

Unicode codepoint

㘒

CJK Unified Ideograph-3612

U+3612

Other letter (Lo)

UTF-8 encoding: E3 98 92 (3 bytes).

Lookup U+3612 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003612

RGB(0, 54, 18)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.18.

Address: 0.0.54.18
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.54.18

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

Musical pitch

Heard as a frequency, 13,842 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -30¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +8¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -28¢)

Position in π

The digit sequence 13842 first appears in π at position 157,876 of the decimal expansion (the 157,876ordinal-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 13842 on Pi Search ↗