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Live analysis

4,200

4,200 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 Harshad / Niven

Properties

Parity
Even
Digit count
4
Digit sum
6
Digital root
6
Palindrome
No
Divisor count
48
σ(n) — sum of divisors
14,880

Primality

Prime factorization: 2 3 × 3 × 5 2 × 7

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 50 · 56 · 60 · 70 · 75 · 84 · 100 · 105 · 120 · 140 · 150 · 168 · 175 · 200 · 210 · 280 · 300 · 350 · 420 · 525 · 600 · 700 · 840 · 1050 · 1400 · 2100 · 4200
Aliquot sum (sum of proper divisors): 10,680
Factor pairs (a × b = 4,200)
1 × 4200
2 × 2100
3 × 1400
4 × 1050
5 × 840
6 × 700
7 × 600
8 × 525
10 × 420
12 × 350
14 × 300
15 × 280
20 × 210
21 × 200
24 × 175
25 × 168
28 × 150
30 × 140
35 × 120
40 × 105
42 × 100
50 × 84
56 × 75
60 × 70
First multiples
4,200 · 8,400 · 12,600 · 16,800 · 21,000 · 25,200 · 29,400 · 33,600 · 37,800 · 42,000

Representations

In words
four thousand two hundred
Ordinal
4200th
Binary
1000001101000
Octal
10150
Hexadecimal
1068

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4200, here are decompositions:

  • 23 + 4177 = 4200
  • 41 + 4159 = 4200
  • 43 + 4157 = 4200
  • 47 + 4153 = 4200
  • 61 + 4139 = 4200
  • 67 + 4133 = 4200
  • 71 + 4129 = 4200
  • 73 + 4127 = 4200

Showing the first eight; more decompositions exist.

Unicode codepoint
ၨ
U+1068
Spacing combining mark (Mc)

UTF-8 encoding: E1 81 A8 (3 bytes).

Lookup U+1068 on Compart ↗ Lookup on FileFormat.Info ↗
Hex color
#001068
RGB(0, 16, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.104.

Possible US bank routing number

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

Routing number
000004200
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.

Look up 000004200 on FedACH ↗ Routing Number Lookup (Wise) ↗