Live analysis

23,000

23,000 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.).

23,000 (twenty-three thousand) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 23. Its proper divisors sum to 33,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x59D8.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

22,988 22,989 22,990 22,991 22,992 22,993 22,994 22,995 22,996 22,997 22,998 22,999 23,000 23,001 23,002 23,003 23,004 23,005 23,006 23,007 23,008 23,009 23,010 23,011 23,012

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 15 bits
Reversed: 32
Recamán's sequence: a(83,852) = 23,000
Square (n²): 529,000,000
Cube (n³): 12,167,000,000,000
Divisor count: 32
σ(n) — sum of divisors: 56,160
φ(n) — Euler's totient: 8,800
Sum of prime factors: 44

Primality

Prime factorization: 2 ³ × 5 ³ × 23

Nearest primes: 22,993 (−7) · 23,003 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 23 · 25 · 40 · 46 · 50 · 92 · 100 · 115 · 125 · 184 · 200 · 230 · 250 · 460 · 500 · 575 · 920 · 1000 · 1150 · 2300 · 2875 · 4600 · 5750 · 11500 (half) · 23000

Aliquot sum (sum of proper divisors): 33,160

Factor pairs (a × b = 23,000)

1 × 23000

2 × 11500

4 × 5750

5 × 4600

8 × 2875

10 × 2300

20 × 1150

23 × 1000

25 × 920

40 × 575

46 × 500

50 × 460

92 × 250

100 × 230

115 × 200

125 × 184

First multiples

23,000 · 46,000 (double) · 69,000 · 92,000 · 115,000 · 138,000 · 161,000 · 184,000 · 207,000 · 230,000

Sums & aliquot sequence

As consecutive integers: 4,598 + 4,599 + 4,600 + 4,601 + 4,602 1,430 + 1,431 + … + 1,445 989 + 990 + … + 1,011 908 + 909 + … + 932

Aliquot sequence: 23,000 → 33,160 → 41,540 → 49,852 → 46,972 → 35,236 → 29,276 → 25,996 → 20,652 → 27,564 → 36,780 → 66,372 → 88,524 → 135,336 → 203,064 → 304,656 → 555,408 — unresolved within range

Continued fraction of √n

√23,000 = [151; (1, 1, 1, 11, 2, 6, 1, 11, 3, 1, 3, 11, 1, 6, 2, 11, 1, 1, 1, 302)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: twenty-three thousand
Ordinal: 23000th
Binary: 101100111011000
Octal: 54730
Hexadecimal: 0x59D8
Base64: Wdg=
One's complement: 42,535 (16-bit)
Scientific notation: 2.3 × 10⁴
As a duration: 23,000 s = 6 hours, 23 minutes, 20 seconds

In other bases

ternary (3) 1011112212

quaternary (4) 11213120

quinary (5) 1214000

senary (6) 254252

septenary (7) 124025

nonary (9) 34485

undecimal (11) 1630a

duodecimal (12) 11388

tridecimal (13) a613

tetradecimal (14) 854c

pentadecimal (15) 6c35

As an angle

23,000° = 63 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓂍𓆼𓆼𓆼
Greek (Milesian): ͵κγ
Mayan (base 20): 𝋢·𝋱·𝋪·𝋠
Chinese: 二萬三千
Chinese (financial): 貳萬參仟

In other modern scripts

Eastern Arabic ٢٣٠٠٠ Devanagari २३००० Bengali ২৩০০০ Tamil ௨௩௦௦௦ Thai ๒๓๐๐๐ Tibetan ༢༣༠༠༠ Khmer ២៣០០០ Lao ໒໓໐໐໐ Burmese ၂၃၀၀၀

Digit at this position in famous constants

π — Pi (π): Digit 23,000 = 6
e — Euler's number (e): Digit 23,000 = 4
φ — Golden ratio (φ): Digit 23,000 = 5
√2 — Pythagoras's (√2): Digit 23,000 = 7
ln 2 — Natural log of 2: Digit 23,000 = 9
γ — Euler-Mascheroni (γ): Digit 23,000 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 23000, here are decompositions:

7 + 22993 = 23000
37 + 22963 = 23000
79 + 22921 = 23000
139 + 22861 = 23000
193 + 22807 = 23000
223 + 22777 = 23000
283 + 22717 = 23000
331 + 22669 = 23000

Showing the first eight; more decompositions exist.

Unicode codepoint

姘

CJK Unified Ideograph-59D8

U+59D8

Other letter (Lo)

UTF-8 encoding: E5 A7 98 (3 bytes).

Lookup U+59D8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0059D8

RGB(0, 89, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.89.216.

Address: 0.0.89.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.89.216

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

Position in π

The digit sequence 23000 first appears in π at position 119,627 of the decimal expansion (the 119,627ordinal-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.

Look up 23000 on Pi Search ↗