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10,023

10,023 is a composite number, odd.

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.).

10,023 (ten thousand twenty-three) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 3 × 13 × 257. Written other ways, in hexadecimal, 0x2727.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
32,001
Recamán's sequence
a(4,829) = 10,023
Square (n²)
100,460,529
Cube (n³)
1,006,915,882,167
Divisor count
8
σ(n) — sum of divisors
14,448
φ(n) — Euler's totient
6,144
Sum of prime factors
273

Primality

Prime factorization: 3 × 13 × 257

Nearest primes: 10,009 (−14) · 10,037 (+14)

Divisors & multiples

All divisors (8)
1 · 3 · 13 · 39 · 257 · 771 · 3341 · 10023
Aliquot sum (sum of proper divisors): 4,425
Factor pairs (a × b = 10,023)
1 × 10023
3 × 3341
13 × 771
39 × 257
First multiples
10,023 · 20,046 (double) · 30,069 · 40,092 · 50,115 · 60,138 · 70,161 · 80,184 · 90,207 · 100,230

Sums & aliquot sequence

As consecutive integers: 5,011 + 5,012 3,340 + 3,341 + 3,342 1,668 + 1,669 + 1,670 + 1,671 + 1,672 + 1,673 765 + 766 + … + 777
Aliquot sequence: 10,023 4,425 3,015 2,289 1,231 1 0 — terminates at zero

Continued fraction of √n

√10,023 = [100; (8, 1, 2, 2, 1, 14, 1, 2, 2, 1, 8, 200)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
ten thousand twenty-three
Ordinal
10023rd
Binary
10011100100111
Octal
23447
Hexadecimal
0x2727
Base64
Jyc=
One's complement
55,512 (16-bit)
Scientific notation
1.0023 × 10⁴
As a duration
10,023 s = 2 hours, 47 minutes, 3 seconds
In other bases
ternary (3) 111202020
quaternary (4) 2130213
quinary (5) 310043
senary (6) 114223
septenary (7) 41136
nonary (9) 14666
undecimal (11) 7592
duodecimal (12) 5973
tridecimal (13) 4740
tetradecimal (14) 391d
pentadecimal (15) 2e83

As an angle

10,023° = 27 × 360° + 303°
303° ≈ 5.288 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ικγʹ
Mayan (base 20)
𝋡·𝋥·𝋡·𝋣
Chinese
一萬零二十三
Chinese (financial)
壹萬零貳拾參
In other modern scripts
Eastern Arabic ١٠٠٢٣ Devanagari १००२३ Bengali ১০০২৩ Tamil ௧௦௦௨௩ Thai ๑๐๐๒๓ Tibetan ༡༠༠༢༣ Khmer ១០០២៣ Lao ໑໐໐໒໓ Burmese ၁၀၀၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 10,023 = 8
e — Euler's number (e)
Digit 10,023 = 4
φ — Golden ratio (φ)
Digit 10,023 = 6
√2 — Pythagoras's (√2)
Digit 10,023 = 7
ln 2 — Natural log of 2
Digit 10,023 = 0
γ — Euler-Mascheroni (γ)
Digit 10,023 = 6

Also seen as

Unicode codepoint
White Four Pointed Star
U+2727
Other symbol (So)

UTF-8 encoding: E2 9C A7 (3 bytes).

Hex color
#002727
RGB(0, 39, 39)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.39.

Address
0.0.39.39
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.39

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

Musical pitch

Heard as a frequency, 10,023 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +12¢)
  • Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +49¢ — about midway to E9)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +13¢)
Position in π

The digit sequence 10023 first appears in π at position 87,914 of the decimal expansion (the 87,914ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.