10614
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 22320
- Proper Divisor Sum (Aliquot Sum)
- 11706
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 1
- Radical
- 10614
- 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
- 148
- 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
- Numbers k such that 73*2^k+1 is prime.at n=20A032386
- Numbers k such that 135*2^k+1 is prime.at n=42A032417
- McKay-Thompson series of class 48A for Monster.at n=57A058691
- Numbers k that divide phi(k)^2 + sigma(k)^2.at n=27A068484
- Take pairs (a, b), sorted on a, such that T(a)+T(b)=concatenation of a and b, where T(k) is the k-th triangular number A000217(k). Sequence gives values of a.at n=19A096031
- Number of (ordered) sequences of coins (each of which has value 1, 5, 10, 25, 50 or 100) which add to n.at n=33A114044
- Dropping first and last digit of n leaves its largest prime factor.at n=37A114565
- Numbers whose square is a permutational number A134640.at n=31A134742
- Triangle, T(n, k) = coefficients [x^k]( p(x,n) ), where p(x, n) = (x+1)^n for n < 2, otherwise (x+1)^n + x*((1+x)^(n-2) + 2^(n-2)*(1-x)^(n-1)*LerchPhi(x, 2-n, 1/2)), read by rows.at n=39A147566
- Triangle, T(n, k) = coefficients [x^k]( p(x,n) ), where p(x, n) = (x+1)^n for n < 2, otherwise (x+1)^n + x*((1+x)^(n-2) + 2^(n-2)*(1-x)^(n-1)*LerchPhi(x, 2-n, 1/2)), read by rows.at n=41A147566
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 0, 1), (1, -1, -1), (1, 1, 0)}.at n=9A148657
- Number of binary sequences of length n having a conjugate at Hamming distance 2.at n=28A179674
- A generalized q-Catalan number for q=2.at n=6A185994
- Number of partitions of 4n into distinct parts with equal sums of odd and even parts.at n=24A255001
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 387", based on the 5-celled von Neumann neighborhood.at n=25A271545
- a(n) = 12*n^2 + 18*n.at n=29A277980
- Expansion of Sum_{p prime, i>=1} x^(p^i) / (1 - Sum_{p prime, j>=1} x^(p^j))^2.at n=18A281852
- Starts of runs of 3 consecutive positive negaFibonacci-Niven numbers (A331085).at n=30A331087
- Number of regions formed by infinite lines when connecting all vertices and all points that divide the sides of an equilateral triangle into n equal parts.at n=7A343755
- Number of compositions of n into parts of size 1, 5, 10 or 25.at n=33A351724