10635
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17040
- Proper Divisor Sum (Aliquot Sum)
- 6405
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5664
- Möbius Function
- -1
- Radical
- 10635
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- no
- Odd
- yes
Appears in sequences
- Lucky numbers with size of gaps equal to 16 (lower terms).at n=32A031898
- Interprimes which are of the form s*prime, s=15.at n=39A075290
- Each term is previous term plus ceiling of root mean square of two previous terms.at n=16A114833
- Numbers of the form 26+p^2 (where p is a prime).at n=26A138689
- Ulam's spiral (ESE spoke).at n=26A143855
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 110-111-111 pattern in any orientation.at n=14A146278
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,1,1.at n=19A222433
- Number of partitions p of n such that the number of parts is not a part and max(p) - min(p) is a part.at n=43A241383
- Smallest number m such that the n-th prime is the median prime factor of 1..m, cf. A212300.at n=44A246430
- Triangle read by rows: T(n,k) appears in the transformation Sum_{k=0..n} (k+1)*x^k = Sum_{k=0..n} T(n,k)*(x-2k)^k.at n=17A253382
- Number of connected nonnegative integer matrices with sum of entries equal to n, no zero rows or columns, and distinct rows and columns.at n=7A321588
- Numbers n from which zero or more applications of A003415 will lead to 5.at n=50A328115