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42,822

42,822 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.).

42,822 (forty-two thousand eight hundred twenty-two) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 13 × 61. Its proper divisors sum to 61,338, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA746.

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
16 bits
Reversed
22,824
Recamán's sequence
a(72,948) = 42,822
Square (n²)
1,833,723,684
Cube (n³)
78,523,715,596,248
Divisor count
32
σ(n) — sum of divisors
104,160
φ(n) — Euler's totient
12,960
Sum of prime factors
85

Primality

Prime factorization: 2 × 3 3 × 13 × 61

Nearest primes: 42,821 (−1) · 42,829 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 27 · 39 · 54 · 61 · 78 · 117 · 122 · 183 · 234 · 351 · 366 · 549 · 702 · 793 · 1098 · 1586 · 1647 · 2379 · 3294 · 4758 · 7137 · 14274 · 21411 (half) · 42822
Aliquot sum (sum of proper divisors): 61,338
Factor pairs (a × b = 42,822)
1 × 42822
2 × 21411
3 × 14274
6 × 7137
9 × 4758
13 × 3294
18 × 2379
26 × 1647
27 × 1586
39 × 1098
54 × 793
61 × 702
78 × 549
117 × 366
122 × 351
183 × 234
First multiples
42,822 · 85,644 (double) · 128,466 · 171,288 · 214,110 · 256,932 · 299,754 · 342,576 · 385,398 · 428,220

Sums & aliquot sequence

As consecutive integers: 14,273 + 14,274 + 14,275 10,704 + 10,705 + 10,706 + 10,707 4,754 + 4,755 + … + 4,762 3,563 + 3,564 + … + 3,574
Aliquot sequence: 42,822 61,338 61,350 91,170 146,106 170,496 334,866 502,350 823,458 847,518 1,205,346 1,205,358 1,801,362 1,855,950 2,747,178 4,055,670 6,886,170 — unresolved within range

Continued fraction of √n

√42,822 = [206; (1, 14, 3, 45, 1, 1, 1, 14, 1, 1, 1, 45, 3, 14, 1, 412)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
forty-two thousand eight hundred twenty-two
Ordinal
42822nd
Binary
1010011101000110
Octal
123506
Hexadecimal
0xA746
Base64
p0Y=
One's complement
22,713 (16-bit)
Scientific notation
4.2822 × 10⁴
As a duration
42,822 s = 11 hours, 53 minutes, 42 seconds
In other bases
ternary (3) 2011202000
quaternary (4) 22131012
quinary (5) 2332242
senary (6) 530130
septenary (7) 235563
nonary (9) 64660
undecimal (11) 2a19a
duodecimal (12) 20946
tridecimal (13) 16650
tetradecimal (14) 1186a
pentadecimal (15) ca4c

As an angle

42,822° = 118 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵μβωκβʹ
Mayan (base 20)
𝋥·𝋧·𝋡·𝋢
Chinese
四萬二千八百二十二
Chinese (financial)
肆萬貳仟捌佰貳拾貳
In other modern scripts
Eastern Arabic ٤٢٨٢٢ Devanagari ४२८२२ Bengali ৪২৮২২ Tamil ௪௨௮௨௨ Thai ๔๒๘๒๒ Tibetan ༤༢༨༢༢ Khmer ៤២៨២២ Lao ໔໒໘໒໒ Burmese ၄၂၈၂၂

Digit at this position in famous constants

π — Pi (π)
Digit 42,822 = 2
e — Euler's number (e)
Digit 42,822 = 7
φ — Golden ratio (φ)
Digit 42,822 = 6
√2 — Pythagoras's (√2)
Digit 42,822 = 3
ln 2 — Natural log of 2
Digit 42,822 = 1
γ — Euler-Mascheroni (γ)
Digit 42,822 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42822, here are decompositions:

  • 29 + 42793 = 42822
  • 71 + 42751 = 42822
  • 79 + 42743 = 42822
  • 103 + 42719 = 42822
  • 113 + 42709 = 42822
  • 139 + 42683 = 42822
  • 173 + 42649 = 42822
  • 179 + 42643 = 42822

Showing the first eight; more decompositions exist.

Unicode codepoint
Latin Capital Letter Broken L
U+A746
Uppercase letter (Lu)

UTF-8 encoding: EA 9D 86 (3 bytes).

Hex color
#00A746
RGB(0, 167, 70)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.167.70.

Address
0.0.167.70
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.167.70

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

Position in π

The digit sequence 42822 first appears in π at position 5,616 of the decimal expansion (the 5,616ordinal-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°.