4355
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
- 5712
- Proper Divisor Sum (Aliquot Sum)
- 1357
- 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
- 3168
- Möbius Function
- -1
- Radical
- 4355
- 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
- 139
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = 4*n^2 - 1.at n=33A000466
- a(n) = (4*n+1)*(4*n+3).at n=16A001539
- Numbers that are the sum of 8 positive 6th powers.at n=43A003364
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=50A011909
- Pseudoprimes to base 66.at n=19A020194
- Numbers with exactly 6 2's in their ternary expansion.at n=22A023704
- Number of partitions of n into parts 4k+1 and 4k+2 with at least one part of each type.at n=46A035624
- Numerators of continued fraction convergents to sqrt(167).at n=5A041308
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=32A044887
- Numbers whose base-4 representation contains exactly four 0's and two 1's.at n=30A045035
- T(n,n-4), where T is the array in A055830.at n=25A055831
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 88 ).at n=33A063361
- Numbers k such that sigma(k^2-k-1) = k*(k+1).at n=19A069826
- a(n) = n-th squarefree number beginning with n.at n=42A077687
- Chebyshev U(n,x) polynomial evaluated at x=33.at n=2A097316
- Number of different volumes assumed by triangular pyramids with their 4 vertices chosen from distinct points of an (n+1)X(n+1)X(n+1) lattice cube, including degenerate objects with volume=0.at n=13A103657
- Positive integers i for which A112049(i) == 7.at n=7A112067
- Positive numbers of the form 4*n^2 - 1 which are not semiprimes.at n=25A123754
- Numbers k for which 8*k+1, 8*k+3 and 8*k+7 are primes.at n=30A123978
- Number of distinct means of nonempty subsets of {1,...,n}.at n=34A135342