4617
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7280
- Proper Divisor Sum (Aliquot Sum)
- 2663
- 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
- 2916
- Möbius Function
- 0
- Radical
- 57
- Omega Function (Ω)
- 6
- 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
- 108
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=40A002134
- Number of convex polygons of length 2n on square lattice whose leftmost bottom vertex is strictly to the right of the rightmost top vertex.at n=4A005769
- Numbers n such that n divides 2^n + 1.at n=12A006521
- Coordination sequence T1 for Zeolite Code AET.at n=47A008007
- Coordination sequence T2 for Zeolite Code AET.at n=47A008008
- Numbers k that divide s(k), where s(1)=1, s(j)=7*s(j-1)+j.at n=31A014854
- Numbers k that divide s(k), where s(1)=1, s(j)=19*s(j-1)+j.at n=16A014869
- Numbers k such that k divides 4^k - 1.at n=31A014945
- Numbers k such that k divides s(k), where s(1)=1, s(j)= s(j-1) + j*7^(j-1).at n=18A014948
- Odd numbers k that divide 25^k - 1.at n=41A014962
- Numbers k such that k | 8^k + 1.at n=15A015955
- Pseudo-powers to base 3: numbers k that are not powers of 3 such that k divides 2^k + 1.at n=4A016057
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=24A020391
- Numbers k such that k^2 is palindromic in base 8.at n=30A029805
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 30 ones.at n=32A031798
- Sums of distinct powers of 8.at n=27A033045
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,1,0.at n=4A033135
- Positive numbers having the same set of digits in base 2 and base 8.at n=23A037413
- Sums of 4 distinct powers of 8.at n=2A038486
- Number of permutations P of {1,2,...,n} such that P(1)=1 and |P^-1(i+1)-P^-1(i)| equals 1 or 2 for i=1,2,...,n-1.at n=21A038718