4902
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10560
- Proper Divisor Sum (Aliquot Sum)
- 5658
- 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
- 1512
- Möbius Function
- 1
- Radical
- 4902
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 134
- 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
- EULER transform of 3, 2, 2, 2, 2, 2, 2, 2, ...at n=13A000713
- 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=35A005899
- Coordination sequence T1 for Zeolite Code MOR.at n=45A008182
- Coordination sequence T1 for feldspar.at n=47A008254
- Coordination sequence for NiAs(2), As position.at n=33A009945
- Coordination sequence for NiAs(2), Ni position.at n=33A009946
- a(0) = 1, a(n) = 25*n^2 + 2 for n > 0.at n=14A010015
- Numbers k such that S(k) = S(k-1) + S(k-2) where S is the Kempner function A002034.at n=3A015047
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor((n+1)/2).at n=35A024305
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = (natural numbers >= 3).at n=34A024306
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor(n/2).at n=34A024868
- a(n) = Jacobi P-Polynomial P_n(alpha=1, beta=1, x=sqrt(2)) multiplied by 2^(n/2+floor(n/2)) and divided by n+1.at n=7A025176
- (d(n)-r(n))/2, where d = A008778 and r is the periodic sequence with fundamental period (1,1,0,1).at n=35A026052
- 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 70.at n=0A031568
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 70.at n=1A031748
- Second pentagonal numbers with odd index: a(n) = (2*n-1)*(3*n-1).at n=29A033568
- Number of partitions satisfying cn(1,5) < cn(2,5) + cn(3,5) and cn(4,5) < cn(2,5) + cn(3,5).at n=33A039888
- Base-7 palindromes that start with 2.at n=18A043016
- Numbers having three 6's in base 9.at n=16A043479
- a(n) is the starting position of the first occurrence of a string of n 2's in the decimal expansion of Pi.at n=3A050281