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Number

23,993

23,993 is a prime, odd.

23,993 (twenty-three thousand nine hundred ninety-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x5DB9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Right-Truncatable Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
26
Digit product
1,458
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
39,932
Recamán's sequence
a(38,329) = 23,993
Square (n²)
575,664,049
Cube (n³)
13,811,907,527,657
Divisor count
2
σ(n) — sum of divisors
23,994
φ(n) — Euler's totient
23,992

Primality

23,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 23993
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 23,993)
1 × 23993
First multiples
23,993 · 47,986 (double) · 71,979 · 95,972 · 119,965 · 143,958 · 167,951 · 191,944 · 215,937 · 239,930

Sums & aliquot sequence

As a sum of two squares: 107² + 112²
As consecutive integers: 11,996 + 11,997

Continued fraction of √n

√23,993 = [154; (1, 8, 1, 2, 5, 1, 43, 2, 2, 2, 2, 43, 1, 5, 2, 1, 8, 1, 308)]

Period length 19 — the block in parentheses repeats forever.

Representations

In words
twenty-three thousand nine hundred ninety-three
Ordinal
23993rd
Binary
101110110111001
Octal
56671
Hexadecimal
0x5DB9
Base64
Xbk=
One's complement
41,542 (16-bit)
Scientific notation
2.3993 × 10⁴
As a duration
23,993 s = 6 hours, 39 minutes, 53 seconds
In other bases
ternary (3) 1012220122
quaternary (4) 11312321
quinary (5) 1231433
senary (6) 303025
septenary (7) 126644
nonary (9) 35818
undecimal (11) 17032
duodecimal (12) 11a75
tridecimal (13) abc8
tetradecimal (14) 8a5b
pentadecimal (15) 7198

As an angle

23,993° = 66 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵κγϡϟγʹ
Mayan (base 20)
𝋢·𝋳·𝋳·𝋭
Chinese
二萬三千九百九十三
Chinese (financial)
貳萬參仟玖佰玖拾參
In other modern scripts
Eastern Arabic ٢٣٩٩٣ Devanagari २३९९३ Bengali ২৩৯৯৩ Tamil ௨௩௯௯௩ Thai ๒๓๙๙๓ Tibetan ༢༣༩༩༣ Khmer ២៣៩៩៣ Lao ໒໓໙໙໓ Burmese ၂၃၉၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 23,993 = 4
e — Euler's number (e)
Digit 23,993 = 2
φ — Golden ratio (φ)
Digit 23,993 = 6
√2 — Pythagoras's (√2)
Digit 23,993 = 5
ln 2 — Natural log of 2
Digit 23,993 = 9
γ — Euler-Mascheroni (γ)
Digit 23,993 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 23,981 (gap of 12)
  • Next prime: 24,001 (gap of 8)
Unicode codepoint
CJK Unified Ideograph-5Db9
U+5DB9
Other letter (Lo)

UTF-8 encoding: E5 B6 B9 (3 bytes).

Hex color
#005DB9
RGB(0, 93, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.93.185.

Address
0.0.93.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.93.185

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

Position in π

The digit sequence 23993 first appears in π at position 11,848 of the decimal expansion (the 11,848ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.