393
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 528
- Proper Divisor Sum (Aliquot Sum)
- 135
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 260
- Möbius Function
- 1
- Radical
- 393
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 58
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- dreihundertdreiundneunzig· ordinal: dreihundertdreiundneunzigste
- English
- three hundred ninety-three· ordinal: three hundred ninety-third
- Spanish
- trescientos noventa y tres· ordinal: 393º
- French
- trois cent quatre-vingt-treize· ordinal: trois cent quatre-vingt-treizième
- Italian
- trecentonovantatre· ordinal: 393º
- Latin
- trecenti nonaginta tres· ordinal: 393.
- Portuguese
- trezentos e noventa e três· ordinal: 393º
Appears in sequences
- Numbers k such that sum of squares of k consecutive integers >= 1 is a square.at n=45A001032
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=28A001033
- a(n) = 3 * prime(n).at n=31A001748
- Palindromes in base 10.at n=48A002113
- Numbers k for which the rank of the elliptic curve y^2 = x^3 - k is 2.at n=53A002154
- a(n) = a(n-1) - 2*a(n-2) with a(0) = 2, a(1) = 1.at n=22A002249
- Central trinomial coefficients: largest coefficient of (1 + x + x^2)^n.at n=7A002426
- a(n) = n + Sum_{k=1..n} pi(k), where pi() = A000720.at n=44A002815
- a(0) = 1; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))).at n=42A002984
- Numbers that are the sum of 12 positive 7th powers.at n=3A003379
- From a nim-like game.at n=20A003412
- Divisible only by primes congruent to 3 mod 8.at n=40A004626
- Binary expansion ends 001.at n=48A004768
- Numbers that are the sum of at most 12 positive 7th powers.at n=45A004874
- Number of symmetric, reduced unit interval schemes with n+1 intervals (n>=1).at n=14A005213
- Numbers k such that k, k+1 and k+2 have the same number of divisors.at n=12A005238
- Coefficient of x^7 in expansion of (1+x+x^2)^n.at n=3A005715
- Number of sensed planar maps with n edges and without faces of degree 1.at n=6A006388
- a(n) = 3*a(n-1) + a(n-2) with a(0) = 2, a(1) = 3.at n=5A006497
- Cald's sequence: a(n+1) = a(n) - prime(n) if that value is positive and new, otherwise a(n) + prime(n) if new, otherwise 0; start with a(1)=1.at n=65A006509