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5,993

5,993 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.).

5,993 (five thousand nine hundred ninety-three) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 13 × 461. Written other ways, in hexadecimal, 0x1769.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
26
Digit product
1,215
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
3,995
Recamán's sequence
a(12,777) = 5,993
Square (n²)
35,916,049
Cube (n³)
215,244,881,657
Divisor count
4
σ(n) — sum of divisors
6,468
φ(n) — Euler's totient
5,520
Sum of prime factors
474

Primality

Prime factorization: 13 × 461

Nearest primes: 5,987 (−6) · 6,007 (+14)

Divisors & multiples

All divisors (4)
1 · 13 · 461 · 5993
Aliquot sum (sum of proper divisors): 475
Factor pairs (a × b = 5,993)
1 × 5993
13 × 461
First multiples
5,993 · 11,986 (double) · 17,979 · 23,972 · 29,965 · 35,958 · 41,951 · 47,944 · 53,937 · 59,930

Sums & aliquot sequence

As a sum of two squares: 8² + 77² = 37² + 68²
As consecutive integers: 2,996 + 2,997 455 + 456 + … + 467 218 + 219 + … + 243
Aliquot sequence: 5,993 475 145 35 13 1 0 — terminates at zero

Continued fraction of √n

√5,993 = [77; (2, 2, 2, 2, 1, 2, 1, 8, 2, 1, 1, 1, 6, 9, 1, 1, 9, 6, 1, 1, 1, 2, 8, 1, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words
five thousand nine hundred ninety-three
Ordinal
5993rd
Binary
1011101101001
Octal
13551
Hexadecimal
0x1769
Base64
F2k=
One's complement
59,542 (16-bit)
Scientific notation
5.993 × 10³
As a duration
5,993 s = 1 hour, 39 minutes, 53 seconds
In other bases
ternary (3) 22012222
quaternary (4) 1131221
quinary (5) 142433
senary (6) 43425
septenary (7) 23321
nonary (9) 8188
undecimal (11) 4559
duodecimal (12) 3575
tridecimal (13) 2960
tetradecimal (14) 2281
pentadecimal (15) 1b98

As an angle

5,993° = 16 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵εϡϟγʹ
Mayan (base 20)
𝋮·𝋳·𝋭
Chinese
五千九百九十三
Chinese (financial)
伍仟玖佰玖拾參
In other modern scripts
Eastern Arabic ٥٩٩٣ Devanagari ५९९३ Bengali ৫৯৯৩ Tamil ௫௯௯௩ Thai ๕๙๙๓ Tibetan ༥༩༩༣ Khmer ៥៩៩៣ Lao ໕໙໙໓ Burmese ၅၉၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 5,993 = 0
e — Euler's number (e)
Digit 5,993 = 2
φ — Golden ratio (φ)
Digit 5,993 = 6
√2 — Pythagoras's (√2)
Digit 5,993 = 9
ln 2 — Natural log of 2
Digit 5,993 = 2
γ — Euler-Mascheroni (γ)
Digit 5,993 = 3

Also seen as

Unicode codepoint
Tagbanwa Letter Pa
U+1769
Other letter (Lo)

UTF-8 encoding: E1 9D A9 (3 bytes).

Hex color
#001769
RGB(0, 23, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.105.

Address
0.0.23.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.105

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

Musical pitch

Heard as a frequency, 5,993 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +21¢)
  • Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -41¢)
  • Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +23¢)
Position in π

The digit sequence 5993 first appears in π at position 4,946 of the decimal expansion (the 4,946ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.