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22,842

22,842 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.).

22,842 (twenty-two thousand eight hundred forty-two) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2 × 3⁵ × 47. Its proper divisors sum to 29,574, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x593A.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
256
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
24,822
Recamán's sequence
a(84,168) = 22,842
Square (n²)
521,756,964
Cube (n³)
11,917,972,571,688
Divisor count
24
σ(n) — sum of divisors
52,416
φ(n) — Euler's totient
7,452
Sum of prime factors
64

Primality

Prime factorization: 2 × 3 5 × 47

Nearest primes: 22,817 (−25) · 22,853 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 47 · 54 · 81 · 94 · 141 · 162 · 243 · 282 · 423 · 486 · 846 · 1269 · 2538 · 3807 · 7614 · 11421 (half) · 22842
Aliquot sum (sum of proper divisors): 29,574
Factor pairs (a × b = 22,842)
1 × 22842
2 × 11421
3 × 7614
6 × 3807
9 × 2538
18 × 1269
27 × 846
47 × 486
54 × 423
81 × 282
94 × 243
141 × 162
First multiples
22,842 · 45,684 (double) · 68,526 · 91,368 · 114,210 · 137,052 · 159,894 · 182,736 · 205,578 · 228,420

Sums & aliquot sequence

As consecutive integers: 7,613 + 7,614 + 7,615 5,709 + 5,710 + 5,711 + 5,712 2,534 + 2,535 + … + 2,542 1,898 + 1,899 + … + 1,909
Aliquot sequence: 22,842 29,574 37,818 52,038 81,342 94,938 94,950 161,358 161,370 299,142 349,038 407,250 700,038 816,750 1,673,010 2,833,830 5,067,882 — unresolved within range

Continued fraction of √n

√22,842 = [151; (7, 2, 1, 2, 2, 3, 3, 4, 2, 42, 1, 2, 1, 3, 12, 1, 7, 33, 2, 5, 1, 2, 11, 3, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
twenty-two thousand eight hundred forty-two
Ordinal
22842nd
Binary
101100100111010
Octal
54472
Hexadecimal
0x593A
Base64
WTo=
One's complement
42,693 (16-bit)
Scientific notation
2.2842 × 10⁴
As a duration
22,842 s = 6 hours, 20 minutes, 42 seconds
In other bases
ternary (3) 1011100000
quaternary (4) 11210322
quinary (5) 1212332
senary (6) 253430
septenary (7) 123411
nonary (9) 34300
undecimal (11) 16186
duodecimal (12) 11276
tridecimal (13) a521
tetradecimal (14) 8478
pentadecimal (15) 6b7c

As an angle

22,842° = 63 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵κβωμβʹ
Mayan (base 20)
𝋢·𝋱·𝋢·𝋢
Chinese
二萬二千八百四十二
Chinese (financial)
貳萬貳仟捌佰肆拾貳
In other modern scripts
Eastern Arabic ٢٢٨٤٢ Devanagari २२८४२ Bengali ২২৮৪২ Tamil ௨௨௮௪௨ Thai ๒๒๘๔๒ Tibetan ༢༢༨༤༢ Khmer ២២៨៤២ Lao ໒໒໘໔໒ Burmese ၂၂၈၄၂

Digit at this position in famous constants

π — Pi (π)
Digit 22,842 = 4
e — Euler's number (e)
Digit 22,842 = 6
φ — Golden ratio (φ)
Digit 22,842 = 5
√2 — Pythagoras's (√2)
Digit 22,842 = 3
ln 2 — Natural log of 2
Digit 22,842 = 0
γ — Euler-Mascheroni (γ)
Digit 22,842 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 22842, here are decompositions:

  • 31 + 22811 = 22842
  • 59 + 22783 = 22842
  • 73 + 22769 = 22842
  • 101 + 22741 = 22842
  • 103 + 22739 = 22842
  • 151 + 22691 = 22842
  • 163 + 22679 = 22842
  • 173 + 22669 = 22842

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-593A
U+593A
Other letter (Lo)

UTF-8 encoding: E5 A4 BA (3 bytes).

Hex color
#00593A
RGB(0, 89, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.89.58.

Address
0.0.89.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.89.58

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

Position in π

The digit sequence 22842 first appears in π at position 97,788 of the decimal expansion (the 97,788ordinal-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°.