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

Properties

Parity
Even
Digit count
4
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
13 bits
Reversed
24
Recamán's sequence
a(178,883) = 4,200
Square (n²)
17,640,000
Cube (n³)
74,088,000,000
Divisor count
48
σ(n) — sum of divisors
14,880
φ(n) — Euler's totient
960
Sum of prime factors
26

Primality

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

Nearest primes: 4,177 (−23) · 4,201 (+1)

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 (half) · 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 (double) · 12,600 · 16,800 · 21,000 · 25,200 · 29,400 · 33,600 · 37,800 · 42,000

Sums & aliquot sequence

As consecutive integers: 1,399 + 1,400 + 1,401 838 + 839 + 840 + 841 + 842 597 + 598 + … + 603 273 + 274 + … + 287
Aliquot sequence: 4,200 10,680 21,720 43,800 93,840 227,568 415,248 688,848 1,120,560 3,164,880 6,646,992 12,086,928 28,342,032 45,117,552 79,735,568 89,795,248 88,427,720 — unresolved within range

Representations

In words
four thousand two hundred
Ordinal
4200th
Binary
1000001101000
Octal
10150
Hexadecimal
0x1068
Base64
EGg=
One's complement
61,335 (16-bit)
In other bases
ternary (3) 12202120
quaternary (4) 1001220
quinary (5) 113300
senary (6) 31240
septenary (7) 15150
nonary (9) 5676
undecimal (11) 3179
duodecimal (12) 2520
tridecimal (13) 1bb1
tetradecimal (14) 1760
pentadecimal (15) 13a0

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋 ·
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵δσʹ
Mayan (base 20)
𝋪·𝋪·𝋠
Chinese
四千二百
Chinese (financial)
肆仟貳佰
In other modern scripts
Eastern Arabic ٤٢٠٠ Devanagari ४२०० Bengali ৪২০০ Tamil ௪௨௦௦ Thai ๔๒๐๐ Tibetan ༤༢༠༠ Khmer ៤២០០ Lao ໔໒໐໐ Burmese ၄၂၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 4,200 = 0
e — Euler's number (e)
Digit 4,200 = 1
φ — Golden ratio (φ)
Digit 4,200 = 4
√2 — Pythagoras's (√2)
Digit 4,200 = 7
ln 2 — Natural log of 2
Digit 4,200 = 3
γ — Euler-Mascheroni (γ)
Digit 4,200 = 6

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
Myanmar Vowel Sign Western Pwo Karen Ue
U+1068
Spacing combining mark (Mc)

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

Hex color
#001068
RGB(0, 16, 104)
IPv4 address

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

Address
0.0.16.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.104

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

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.

Position in π

The digit sequence 4200 first appears in π at position 2,804 of the decimal expansion (the 2,804ordinal-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.