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Live analysis

8,442

8,442 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.).
Abundant Number Happy Number Harshad / Niven

Properties

Parity
Even
Digit count
4
Digit sum
18
Digital root
9
Palindrome
No
Divisor count
24
σ(n) — sum of divisors
21,216

Primality

Prime factorization: 2 × 3 2 × 7 × 67

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 42 · 63 · 67 · 126 · 134 · 201 · 402 · 469 · 603 · 938 · 1206 · 1407 · 2814 · 4221 · 8442
Aliquot sum (sum of proper divisors): 12,774
Factor pairs (a × b = 8,442)
1 × 8442
2 × 4221
3 × 2814
6 × 1407
7 × 1206
9 × 938
14 × 603
18 × 469
21 × 402
42 × 201
63 × 134
67 × 126
First multiples
8,442 · 16,884 · 25,326 · 33,768 · 42,210 · 50,652 · 59,094 · 67,536 · 75,978 · 84,420

Representations

In words
eight thousand four hundred forty-two
Ordinal
8442nd
Binary
10000011111010
Octal
20372
Hexadecimal
20FA

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8442, here are decompositions:

  • 11 + 8431 = 8442
  • 13 + 8429 = 8442
  • 19 + 8423 = 8442
  • 23 + 8419 = 8442
  • 53 + 8389 = 8442
  • 73 + 8369 = 8442
  • 79 + 8363 = 8442
  • 89 + 8353 = 8442

Showing the first eight; more decompositions exist.

Hex color
#0020FA
RGB(0, 32, 250)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.250.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000008442
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.