10514
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18048
- Proper Divisor Sum (Aliquot Sum)
- 7534
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4500
- Möbius Function
- -1
- Radical
- 10514
- 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
- 179
- 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
- Fibonacci sequence beginning 2, 16.at n=15A022370
- Number of matchings in the wheel graph with n spokes.at n=14A061705
- Integers m such that the base-10 digit concatenation 2//m//3//m//5//m...//prime(49)//m//prime(50) is prime.at n=24A084048
- Multiples of 14 containing a 14 in their decimal representation.at n=30A121034
- Numbers k such that for any single digit d of k the d-th semiprime sp(k) is substring of k.at n=35A135441
- 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, 0, 1), (-1, 1, 0), (1, 0, -1), (1, 0, 1)}.at n=8A149293
- Number of binary strings of length n with no substrings equal to 000, 001, or 010.at n=23A164316
- Generalized Lucas-Pascal triangle: (101*100^n,1).at n=25A164855
- Potential magic constants of 8 X 8 magic squares composed of consecutive primes.at n=25A189188
- Hosoya indices of the 2n-wheel graphs W_{2n}.at n=7A192858
- x-values in the solution to x^2 - 20*y^2 = 176.at n=15A228207
- Numbers whose binary representation traces a non-selfcrossing circuit in the honeycomb lattice when each one of its bits, from the most significant to the least significant, is interpreted as a direction to proceed at each vertex.at n=39A255561
- G.f.: 1/((1-t^7)^2*(1-t)*(1-t^3)*(1-t^5)*(1-t^9)*(1-t^11)*(1-t^13)).at n=64A266747
- Positions of 2's in A264977; positions of 3's in A277330.at n=42A277712
- Numbers k such that (4*10^k + 137)/3 is prime.at n=19A289751
- Expansion of e.g.f. Sum_{k>=1} tau(k)*(exp(x) - 1)^k/k!, where tau = number of divisors (A000005).at n=7A308554
- Number of separable partitions of n in which the number of distinct (repeatable) parts <= 6.at n=34A325715
- Numbers k such that k divides the sum of digits in primorial base of all numbers from 1 to k.at n=29A333703
- Sum over all partitions of n of the GCD of the number of parts and the number of distinct parts.at n=30A339312
- a(n) = n*a(n-1) + n^(n mod 2), a(0) = 0.at n=7A344419