4626
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
- 10062
- Proper Divisor Sum (Aliquot Sum)
- 5436
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1536
- Möbius Function
- 0
- Radical
- 1542
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of x/((1-x)(1-4x^2)(1-5x)).at n=5A002041
- Expansion of 1 / ((1-x)^2*(1-x^2)*(1-x^3)*(1-x^4)).at n=35A002621
- Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.at n=34A005899
- Coordination sequence T2 for Zeolite Code TON.at n=42A008242
- Coordination sequence for C_3 lattice: a(n) = 16*n^2 + 2 (n>0), a(0)=1.at n=17A010006
- Add 1, multiply by 1, add 2, multiply by 2, etc., start with 1.at n=12A019463
- a(n) = n*(n^2 + 12*n - 25)/6.at n=27A026057
- Sum of the numbers between the two n's in A026362.at n=35A026365
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 68.at n=0A031566
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 68.at n=1A031746
- Numbers whose set of base-16 digits is {1,2}.at n=19A032936
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 5).at n=54A035572
- Denominator of fraction equal to the continued fraction [ 0, 2, 4, ...2n ].at n=5A036243
- Number of true prime powers whose binary order, ceiling(log_2(p^x)), is n.at n=34A036380
- Number of 6-ary rooted trees with n nodes and height at most 9.at n=12A036626
- Positive numbers having the same set of digits in base 5 and base 8.at n=28A037431
- T(n,n), array T as in A047110.at n=8A047112
- Coordination sequence T4 for Zeolite Code DON.at n=46A047956
- a(0)=1, a(n) = n*(a(n-1) + n).at n=6A053817
- Multiples of 9 having only even digits.at n=36A061831