10654
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18288
- Proper Divisor Sum (Aliquot Sum)
- 7634
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4560
- Möbius Function
- -1
- Radical
- 10654
- 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
- 86
- 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
- McKay-Thompson series of class 11A for the Monster group with a(0) = -5.at n=11A003295
- a(n) = n OR n^3 (applied to binary expansions).at n=21A008468
- Numerators of continued fraction convergents to sqrt(852).at n=5A042644
- Convolution of A000108 (Catalan numbers) with A038846.at n=4A042985
- A triangle related to A000108 (Catalan) and A000302 (powers of 4).at n=40A046527
- Expansion of e.g.f. (2 - x - 2*exp(-x))/(1-x).at n=7A055596
- McKay-Thompson series of class 11A for the Monster Group.at n=11A058205
- Interprimes which are of the form s*prime, s=14.at n=18A075289
- a(n) = n^3 + 6.at n=22A084382
- a(n) = K_4(n) = Sum_{k>=0} A090285(4,k)*2^k*binomial(n,k). a(n) = 2*(n^4+14*n^3+62*n^2+91*n+21)/3.at n=8A090296
- Numbers k such that the k-th prime is of the form 2*j^2 + 1.at n=34A090612
- Expansion of 1 + Sum_{i>=1} (x^prime(i)/Product_{j=1..i} (1-x^j)).at n=48A095700
- Numbers k such that the reverse of the representation of phi(k) is a substring of k, in base 10.at n=10A113622
- McKay-Thompson series of class 11A for the Monster Group with a(0) = 6.at n=11A128525
- McKay-Thompson series of class 11A for the Monster group with a(0) = 2.at n=11A134784
- Indices of records in A064844.at n=11A135988
- a(n) = 2*prime(n)^2 - 4.at n=20A153480
- a(n) = n! mod !n.at n=6A216441
- Number of terms of 2^j + 3^k <= 10^n.at n=38A219835
- Indices of prime Fibonacci 5-step numbers, A001591.at n=13A248757