1358
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2352
- Proper Divisor Sum (Aliquot Sum)
- 994
- 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
- 576
- Möbius Function
- -1
- Radical
- 1358
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 65
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of (1 + x*exp(x))^2.at n=7A002999
- Sum of cubes of primes dividing n.at n=32A005064
- Sum of cubes of odd primes dividing n.at n=32A005067
- Sum of cubes of primes = 3 mod 4 dividing n.at n=32A005084
- Sum of cubes of primes = 3 mod 4 dividing n.at n=65A005084
- Number of integer partitions of n whose smallest part is equal to the number of parts.at n=62A006141
- Positive even numbers that are not the sum of a pair of twin primes.at n=28A007534
- Coordination sequence T1 for Zeolite Code HEU.at n=24A008116
- Expansion of e.g.f. sinh(log(1+x))*cos(x).at n=7A009572
- Expansion of e.g.f. sinh(log(1+x))/cosh(x).at n=7A009577
- Coordination sequence T3 for Zeolite Code CON.at n=26A009870
- E.g.f.: cosh(exp(x)-cos(x))=1+1/2!*x^2+6/3!*x^3+17/4!*x^4+40/5!*x^5...at n=7A013319
- Numbers k such that phi(k) + 12 | sigma(k).at n=38A015805
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RUT = RUB-10 R4[B4Si32O72] starting from a T3 atom.at n=10A019232
- Convolution of natural numbers with (1, p(1), p(2), ... ), where p(k) is the k-th prime.at n=14A023538
- a(n) = 3rd elementary symmetric function of the first n+2 primes.at n=2A024448
- Numbers that are sums of 2 distinct positive cubes.at n=45A024670
- Coordination sequence T8 for Zeolite Code MWW.at n=24A024993
- Index of 6^n within the sequence of the numbers of the form 3^i*6^j.at n=40A025713
- a(n) = (d(n)-r(n))/2, where d = A026066 and r is the periodic sequence with fundamental period (1,0,0,0).at n=14A026067