10422
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23280
- Proper Divisor Sum (Aliquot Sum)
- 12858
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 1158
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 135
- 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
- Numbers k such that 43*2^k+1 is prime.at n=20A032371
- Gaps of 10 in sequence A038593 (lower terms).at n=7A038659
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=32A038852
- Numbers ending with '2' that are the difference of two positive cubes.at n=26A038857
- Number of partitions into at most a(1) copies of 1, a(2) copies of 2, ...at n=47A052337
- a(1)=1. a(n) = a(n-1) + sum of the squares which are among the first (n-1) terms of the sequence.at n=39A101135
- Expansion of (1 - 3*x + 2*x^2)/(1 - 4*x + 3*x^2 + x^3).at n=10A121449
- Partial sums of A024810(n) = floor(2^(n+1)/Pi).at n=12A172265
- a(n) = ceiling(A173497(n)/2).at n=31A173508
- Number of distinct solutions of sum{i=1..2}(x(2i-1)*x(2i)) = 1 (mod n), with x() in 0..n-1.at n=42A180804
- Number of nondecreasing arrangements of n+3 numbers in 0..5 with each number being the sum mod 6 of three others.at n=10A183900
- Numbers n such that n-1 is a divisor of 3^n + 5^n.at n=14A234535
- Number of endofunctions f on [n] such that f^7(i) = f(i) for all i in [n].at n=6A245503
- Number of 2n+1-node rooted trees in which the maximal number of nodes in paths starting at a leaf and ending at the first branching node or at the root equals n+1.at n=10A255705
- Number T(n,k) of partitions of n into parts of exactly k sorts which are introduced in ascending order; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=49A256130
- Number of partitions of n into parts of exactly 4 sorts which are introduced in ascending order.at n=5A258459
- G.f. = b(2)*b(4)*b(6)/(x^8+x^7-x^3-x^2-x+1), where b(k) = (1-x^k)/(1-x).at n=13A266375
- Numbers n such that Bernoulli number B_{n} has denominator 798.at n=43A272138
- a(0) = a(1) = 1; a(n) = [x^n] Product_{k=1..n-1} 1/(1 - x^a(k)).at n=53A293806
- T(n,k) = Sum_{j=0..n-k} H(n,j)*2^k with H(n,k) = binomial(n,k)* hypergeom([-k/2, 1/2-k/2], [2-k+n], 4), for 0 <= k <= n, triangle read by rows.at n=46A301477