4158
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
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 7362
- 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
- 1080
- Möbius Function
- 0
- Radical
- 462
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 51
- 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 theta series of {E_7}* lattice in powers of q^(1/2).at n=16A003781
- Degrees of irreducible representations of alternating group A_12.at n=39A003867
- Degrees of irreducible representations of symmetric group S_12.at n=68A003876
- Degrees of irreducible representations of symmetric group S_12.at n=69A003876
- Expansion of theta series of E_7 lattice in powers of q^2.at n=4A004008
- a(n) = 2*(2^n + 1)*(2^(n+1) - 1).at n=5A005367
- Coordination sequence T2 for Zeolite Code ERI.at n=47A008094
- Coordination sequence T1 for Zeolite Code EUO.at n=40A008095
- Coordination sequence T2 for Zeolite Code HEU.at n=42A008117
- Coordination sequence T2 for Zeolite Code VSV.at n=41A009915
- Expansion of Product_{k>=1} (1-x^k)^28.at n=6A010833
- (n-th Fibonacci number that is not 1) - (n-th number that is 1 or not a Fibonacci number).at n=16A014242
- Aliquot sequence starting at 1134.at n=4A014365
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=32A020333
- Theta series of A*_7 lattice. Expansion of F_8(q^2).at n=64A023919
- 3rd-order Patalan numbers (generalization of Catalan numbers).at n=6A025748
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=20A029695
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=27A029695
- Nonzero coefficients in theta series of {E_7}* lattice.at n=8A030443
- Number of partitions of n with equal nonzero number of parts congruent to each of 3 and 4 (mod 5).at n=39A035571