10362
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
- 22752
- Proper Divisor Sum (Aliquot Sum)
- 12390
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3120
- Möbius Function
- 1
- Radical
- 10362
- 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
- 42
- 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
- a(n) = n*(19*n + 1)/2.at n=33A022277
- Positive numbers k such that k and 3*k are anagrams in base 9 (written in base 9).at n=39A023080
- a(n) = n*(n^3 - 1)/2.at n=10A027482
- Number of character table entries of the symmetric group S_n which are > 0.at n=14A051749
- Numbers of the form k*(k^3 +- 1)/2.at n=22A057590
- McKay-Thompson series of class 19A for Monster.at n=20A058549
- Numbers k such that sigma(k) = phi(k+1) + phi(k) + phi(k-1).at n=12A065986
- Ninth convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself.at n=5A073379
- Numbers k such that 4^k + 3 is prime.at n=22A089437
- Numbers n such that (sigma(n-2)+sigma(n+2))/2 = sigma(n).at n=30A099631
- 4th diagonal of triangle in A059317.at n=38A106058
- Numbers n such that the numerator of BernoulliB[n] is divisible by 691.at n=36A119864
- McKay-Thompson series of class 19A for the Monster group with a(0) = 3.at n=20A136569
- 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, 0), (-1, 1, 1), (1, -1, 0), (1, 1, 0)}.at n=8A149292
- E.g.f. satisfies: A(x) = exp(2*x*exp(x*A(x))).at n=5A161566
- Let S be the set of positive integers that, when written in binary, exist as substrings in the binary representation of n. a(n) = number of partitions of n into parts that are all members of S. Each part may occur any number of times in a partition.at n=48A175359
- Number of (n+2)X(2+2) 0..1 arrays with the (lower) medians of each row unequal to its neighbors and each column equal to its neighbors.at n=3A238022
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with the (lower) medians of each row unequal to its neighbors and each column equal to its neighbors.at n=13A238026
- Number of (4+2)X(n+2) 0..1 arrays with the (lower) medians of each row unequal to its neighbors and each column equal to its neighbors.at n=1A238030
- Numbers k such that (265*10^k + 17)/3 is prime.at n=23A272523