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23,964

23,964 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.).

23,964 (twenty-three thousand nine hundred sixty-four) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 1,997. Its proper divisors sum to 31,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x5D9C.

Abundant Number Arithmetic Number Cube-Free Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
1,296
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
46,932
Recamán's sequence
a(38,387) = 23,964
Square (n²)
574,273,296
Cube (n³)
13,761,885,265,344
Divisor count
12
σ(n) — sum of divisors
55,944
φ(n) — Euler's totient
7,984
Sum of prime factors
2,004

Primality

Prime factorization: 2 2 × 3 × 1997

Nearest primes: 23,957 (−7) · 23,971 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 1997 · 3994 · 5991 · 7988 · 11982 (half) · 23964
Aliquot sum (sum of proper divisors): 31,980
Factor pairs (a × b = 23,964)
1 × 23964
2 × 11982
3 × 7988
4 × 5991
6 × 3994
12 × 1997
First multiples
23,964 · 47,928 (double) · 71,892 · 95,856 · 119,820 · 143,784 · 167,748 · 191,712 · 215,676 · 239,640

Sums & aliquot sequence

As consecutive integers: 7,987 + 7,988 + 7,989 2,992 + 2,993 + … + 2,999 987 + 988 + … + 1,010
Aliquot sequence: 23,964 31,980 66,804 97,836 138,708 212,006 110,698 79,094 41,434 20,720 35,824 33,616 37,808 40,312 35,288 37,072 45,264 — unresolved within range

Continued fraction of √n

√23,964 = [154; (1, 4, 12, 1, 2, 2, 1, 76, 1, 2, 2, 1, 12, 4, 1, 308)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
twenty-three thousand nine hundred sixty-four
Ordinal
23964th
Binary
101110110011100
Octal
56634
Hexadecimal
0x5D9C
Base64
XZw=
One's complement
41,571 (16-bit)
Scientific notation
2.3964 × 10⁴
As a duration
23,964 s = 6 hours, 39 minutes, 24 seconds
In other bases
ternary (3) 1012212120
quaternary (4) 11312130
quinary (5) 1231324
senary (6) 302540
septenary (7) 126603
nonary (9) 35776
undecimal (11) 17006
duodecimal (12) 11a50
tridecimal (13) aba5
tetradecimal (14) 8a3a
pentadecimal (15) 7179

As an angle

23,964° = 66 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κγϡξδʹ
Mayan (base 20)
𝋢·𝋳·𝋲·𝋤
Chinese
二萬三千九百六十四
Chinese (financial)
貳萬參仟玖佰陸拾肆
In other modern scripts
Eastern Arabic ٢٣٩٦٤ Devanagari २३९६४ Bengali ২৩৯৬৪ Tamil ௨௩௯௬௪ Thai ๒๓๙๖๔ Tibetan ༢༣༩༦༤ Khmer ២៣៩៦៤ Lao ໒໓໙໖໔ Burmese ၂၃၉၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 23,964 = 5
e — Euler's number (e)
Digit 23,964 = 2
φ — Golden ratio (φ)
Digit 23,964 = 5
√2 — Pythagoras's (√2)
Digit 23,964 = 3
ln 2 — Natural log of 2
Digit 23,964 = 9
γ — Euler-Mascheroni (γ)
Digit 23,964 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 23964, here are decompositions:

  • 7 + 23957 = 23964
  • 47 + 23917 = 23964
  • 53 + 23911 = 23964
  • 71 + 23893 = 23964
  • 107 + 23857 = 23964
  • 131 + 23833 = 23964
  • 137 + 23827 = 23964
  • 151 + 23813 = 23964

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5D9C
U+5D9C
Other letter (Lo)

UTF-8 encoding: E5 B6 9C (3 bytes).

Hex color
#005D9C
RGB(0, 93, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.93.156.

Address
0.0.93.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.93.156

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

Position in π

The digit sequence 23964 first appears in π at position 488,726 of the decimal expansion (the 488,726ordinal-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°.