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6,404

6,404 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 Happy Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
13 bits
Reversed
4,046
Recamán's sequence
a(27,092) = 6,404
Square (n²)
41,011,216
Cube (n³)
262,635,827,264
Divisor count
6
σ(n) — sum of divisors
11,214
φ(n) — Euler's totient
3,200
Sum of prime factors
1,605

Primality

Prime factorization: 2 2 × 1601

Nearest primes: 6,397 (−7) · 6,421 (+17)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 1601 · 3202 (half) · 6404
Aliquot sum (sum of proper divisors): 4,810
Factor pairs (a × b = 6,404)
1 × 6404
2 × 3202
4 × 1601
First multiples
6,404 · 12,808 (double) · 19,212 · 25,616 · 32,020 · 38,424 · 44,828 · 51,232 · 57,636 · 64,040

Sums & aliquot sequence

As a sum of two squares: 2² + 80²
As consecutive integers: 797 + 798 + … + 804
Aliquot sequence: 6,404 4,810 4,766 2,386 1,196 1,156 993 335 73 1 0 — terminates at zero

Representations

In words
six thousand four hundred four
Ordinal
6404th
Binary
1100100000100
Octal
14404
Hexadecimal
0x1904
Base64
GQQ=
One's complement
59,131 (16-bit)
In other bases
ternary (3) 22210012
quaternary (4) 1210010
quinary (5) 201104
senary (6) 45352
septenary (7) 24446
nonary (9) 8705
undecimal (11) 48a2
duodecimal (12) 3858
tridecimal (13) 2bb8
tetradecimal (14) 2496
pentadecimal (15) 1d6e

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛυδʹ
Mayan (base 20)
𝋰·𝋠·𝋤
Chinese
六千四百零四
Chinese (financial)
陸仟肆佰零肆
In other modern scripts
Eastern Arabic ٦٤٠٤ Devanagari ६४०४ Bengali ৬৪০৪ Tamil ௬௪௦௪ Thai ๖๔๐๔ Tibetan ༦༤༠༤ Khmer ៦៤០៤ Lao ໖໔໐໔ Burmese ၆၄၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 6,404 = 8
e — Euler's number (e)
Digit 6,404 = 9
φ — Golden ratio (φ)
Digit 6,404 = 9
√2 — Pythagoras's (√2)
Digit 6,404 = 8
ln 2 — Natural log of 2
Digit 6,404 = 4
γ — Euler-Mascheroni (γ)
Digit 6,404 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6404, here are decompositions:

  • 7 + 6397 = 6404
  • 31 + 6373 = 6404
  • 37 + 6367 = 6404
  • 43 + 6361 = 6404
  • 61 + 6343 = 6404
  • 67 + 6337 = 6404
  • 103 + 6301 = 6404
  • 127 + 6277 = 6404

Showing the first eight; more decompositions exist.

Unicode codepoint
Limbu Letter Gha
U+1904
Other letter (Lo)

UTF-8 encoding: E1 A4 84 (3 bytes).

Hex color
#001904
RGB(0, 25, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.25.4.

Address
0.0.25.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.25.4

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

Position in π

The digit sequence 6404 first appears in π at position 8,600 of the decimal expansion (the 8,600ordinal-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.