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10,064

10,064 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 Evil Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
46,001
Recamán's sequence
a(4,915) = 10,064
Square (n²)
101,284,096
Cube (n³)
1,019,323,142,144
Divisor count
20
σ(n) — sum of divisors
21,204
φ(n) — Euler's totient
4,608
Sum of prime factors
62

Primality

Prime factorization: 2 4 × 17 × 37

Nearest primes: 10,061 (−3) · 10,067 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 37 · 68 · 74 · 136 · 148 · 272 · 296 · 592 · 629 · 1258 · 2516 · 5032 (half) · 10064
Aliquot sum (sum of proper divisors): 11,140
Factor pairs (a × b = 10,064)
1 × 10064
2 × 5032
4 × 2516
8 × 1258
16 × 629
17 × 592
34 × 296
37 × 272
68 × 148
74 × 136
First multiples
10,064 · 20,128 (double) · 30,192 · 40,256 · 50,320 · 60,384 · 70,448 · 80,512 · 90,576 · 100,640

Sums & aliquot sequence

As a sum of two squares: 8² + 100² = 40² + 92²
As consecutive integers: 584 + 585 + … + 600 299 + 300 + … + 330 254 + 255 + … + 290
Aliquot sequence: 10,064 11,140 12,296 12,004 9,010 8,486 4,246 2,738 1,483 1 0 — terminates at zero

Representations

In words
ten thousand sixty-four
Ordinal
10064th
Binary
10011101010000
Octal
23520
Hexadecimal
0x2750
Base64
J1A=
One's complement
55,471 (16-bit)
In other bases
ternary (3) 111210202
quaternary (4) 2131100
quinary (5) 310224
senary (6) 114332
septenary (7) 41225
nonary (9) 14722
undecimal (11) 761a
duodecimal (12) 59a8
tridecimal (13) 4772
tetradecimal (14) 394c
pentadecimal (15) 2eae

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιξδʹ
Mayan (base 20)
𝋡·𝋥·𝋣·𝋤
Chinese
一萬零六十四
Chinese (financial)
壹萬零陸拾肆
In other modern scripts
Eastern Arabic ١٠٠٦٤ Devanagari १००६४ Bengali ১০০৬৪ Tamil ௧௦௦௬௪ Thai ๑๐๐๖๔ Tibetan ༡༠༠༦༤ Khmer ១០០៦៤ Lao ໑໐໐໖໔ Burmese ၁၀၀၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,064 = 0
e — Euler's number (e)
Digit 10,064 = 7
φ — Golden ratio (φ)
Digit 10,064 = 7
√2 — Pythagoras's (√2)
Digit 10,064 = 3
ln 2 — Natural log of 2
Digit 10,064 = 8
γ — Euler-Mascheroni (γ)
Digit 10,064 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10064, here are decompositions:

  • 3 + 10061 = 10064
  • 97 + 9967 = 10064
  • 157 + 9907 = 10064
  • 163 + 9901 = 10064
  • 181 + 9883 = 10064
  • 193 + 9871 = 10064
  • 277 + 9787 = 10064
  • 283 + 9781 = 10064

Showing the first eight; more decompositions exist.

Unicode codepoint
Upper Right Drop-Shadowed White Square
U+2750
Other symbol (So)

UTF-8 encoding: E2 9D 90 (3 bytes).

Hex color
#002750
RGB(0, 39, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.80.

Address
0.0.39.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.80

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

Position in π

The digit sequence 10064 first appears in π at position 110,648 of the decimal expansion (the 110,648ordinal-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.