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4,006

4,006 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.).
Arithmetic Number Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Properties

Parity
Even
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
12 bits
Reversed
6,004
Recamán's sequence
a(14,379) = 4,006
Square (n²)
16,048,036
Cube (n³)
64,288,432,216
Divisor count
4
σ(n) — sum of divisors
6,012
φ(n) — Euler's totient
2,002
Sum of prime factors
2,005

Primality

Prime factorization: 2 × 2003

Nearest primes: 4,003 (−3) · 4,007 (+1)

Divisors & multiples

All divisors (4)
1 · 2 · 2003 (half) · 4006
Aliquot sum (sum of proper divisors): 2,006
Factor pairs (a × b = 4,006)
1 × 4006
2 × 2003
First multiples
4,006 · 8,012 (double) · 12,018 · 16,024 · 20,030 · 24,036 · 28,042 · 32,048 · 36,054 · 40,060

Sums & aliquot sequence

As consecutive integers: 1,000 + 1,001 + 1,002 + 1,003
Aliquot sequence: 4,006 2,006 1,234 620 724 550 566 286 218 112 136 134 70 74 40 50 43 — unresolved within range

Representations

In words
four thousand six
Ordinal
4006th
Binary
111110100110
Octal
7646
Hexadecimal
0xFA6
Base64
D6Y=
One's complement
61,529 (16-bit)
In other bases
ternary (3) 12111101
quaternary (4) 332212
quinary (5) 112011
senary (6) 30314
septenary (7) 14452
nonary (9) 5441
undecimal (11) 3012
duodecimal (12) 239a
tridecimal (13) 1a92
tetradecimal (14) 1662
pentadecimal (15) 12c1

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δϛʹ
Mayan (base 20)
𝋪·𝋠·𝋦
Chinese
四千零六
Chinese (financial)
肆仟零陸
In other modern scripts
Eastern Arabic ٤٠٠٦ Devanagari ४००६ Bengali ৪০০৬ Tamil ௪௦௦௬ Thai ๔๐๐๖ Tibetan ༤༠༠༦ Khmer ៤០០៦ Lao ໔໐໐໖ Burmese ၄၀၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 4,006 = 7
e — Euler's number (e)
Digit 4,006 = 0
φ — Golden ratio (φ)
Digit 4,006 = 0
√2 — Pythagoras's (√2)
Digit 4,006 = 0
ln 2 — Natural log of 2
Digit 4,006 = 0
γ — Euler-Mascheroni (γ)
Digit 4,006 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4006, here are decompositions:

  • 3 + 4003 = 4006
  • 5 + 4001 = 4006
  • 17 + 3989 = 4006
  • 59 + 3947 = 4006
  • 83 + 3923 = 4006
  • 89 + 3917 = 4006
  • 173 + 3833 = 4006
  • 227 + 3779 = 4006

Showing the first eight; more decompositions exist.

Unicode codepoint
Tibetan Subjoined Letter Ba
U+0FA6
Non-spacing mark (Mn)

UTF-8 encoding: E0 BE A6 (3 bytes).

Hex color
#000FA6
RGB(0, 15, 166)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.166.

Address
0.0.15.166
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.166

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
000004006
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 4006 first appears in π at position 6,348 of the decimal expansion (the 6,348ordinal-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.