number.wiki
Live analysis

10,264

10,264 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.).

10,264 (ten thousand two hundred sixty-four) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2³ × 1,283. Written other ways, in hexadecimal, 0x2818.

Deficient Number Evil Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
46,201
Recamán's sequence
a(5,787) = 10,264
Square (n²)
105,349,696
Cube (n³)
1,081,309,279,744
Divisor count
8
σ(n) — sum of divisors
19,260
φ(n) — Euler's totient
5,128
Sum of prime factors
1,289

Primality

Prime factorization: 2 3 × 1283

Nearest primes: 10,259 (−5) · 10,267 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 1283 · 2566 · 5132 (half) · 10264
Aliquot sum (sum of proper divisors): 8,996
Factor pairs (a × b = 10,264)
1 × 10264
2 × 5132
4 × 2566
8 × 1283
First multiples
10,264 · 20,528 (double) · 30,792 · 41,056 · 51,320 · 61,584 · 71,848 · 82,112 · 92,376 · 102,640

Sums & aliquot sequence

As consecutive integers: 634 + 635 + … + 649
Aliquot sequence: 10,264 8,996 8,056 8,144 7,666 3,836 3,892 3,948 6,804 13,580 19,348 19,404 42,840 125,640 283,860 633,420 1,562,004 — unresolved within range

Continued fraction of √n

√10,264 = [101; (3, 4, 1, 2, 1, 2, 1, 7, 2, 1, 2, 5, 1, 3, 3, 2, 2, 1, 3, 1, 1, 1, 1, 16, …)]

Representations

In words
ten thousand two hundred sixty-four
Ordinal
10264th
Binary
10100000011000
Octal
24030
Hexadecimal
0x2818
Base64
KBg=
One's complement
55,271 (16-bit)
Scientific notation
1.0264 × 10⁴
As a duration
10,264 s = 2 hours, 51 minutes, 4 seconds
In other bases
ternary (3) 112002011
quaternary (4) 2200120
quinary (5) 312024
senary (6) 115304
septenary (7) 41632
nonary (9) 15064
undecimal (11) 7791
duodecimal (12) 5b34
tridecimal (13) 4897
tetradecimal (14) 3a52
pentadecimal (15) 3094

As an angle

10,264° = 28 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ισξδʹ
Mayan (base 20)
𝋡·𝋥·𝋭·𝋤
Chinese
一萬零二百六十四
Chinese (financial)
壹萬零貳佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٢٦٤ Devanagari १०२६४ Bengali ১০২৬৪ Tamil ௧௦௨௬௪ Thai ๑๐๒๖๔ Tibetan ༡༠༢༦༤ Khmer ១០២៦៤ Lao ໑໐໒໖໔ Burmese ၁၀၂၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,264 = 7
e — Euler's number (e)
Digit 10,264 = 8
φ — Golden ratio (φ)
Digit 10,264 = 2
√2 — Pythagoras's (√2)
Digit 10,264 = 0
ln 2 — Natural log of 2
Digit 10,264 = 1
γ — Euler-Mascheroni (γ)
Digit 10,264 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10264, here are decompositions:

  • 5 + 10259 = 10264
  • 11 + 10253 = 10264
  • 17 + 10247 = 10264
  • 41 + 10223 = 10264
  • 53 + 10211 = 10264
  • 71 + 10193 = 10264
  • 83 + 10181 = 10264
  • 101 + 10163 = 10264

Showing the first eight; more decompositions exist.

Unicode codepoint
Braille Pattern Dots-45
U+2818
Other symbol (So)

UTF-8 encoding: E2 A0 98 (3 bytes).

Hex color
#002818
RGB(0, 40, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.24.

Address
0.0.40.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.40.24

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

Musical pitch

Heard as a frequency, 10,264 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -47¢ — about midway to D♯9)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -10¢)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -46¢ — about midway to E9)
Position in π

The digit sequence 10264 first appears in π at position 172,180 of the decimal expansion (the 172,180ordinal-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.

Related reading