7650
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 21762
- Proper Divisor Sum (Aliquot Sum)
- 14112
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1920
- Möbius Function
- 0
- Radical
- 510
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 39
- 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
- Triangle of numbers related to triangle A049213; generalization of Stirling numbers of second kind A008277, Bessel triangle A001497.at n=17A000369
- a(n) = (7*n+1)*(7*n+6).at n=12A001526
- Degrees of irreducible representations of Held group He.at n=18A003912
- Degrees of irreducible representations of Held group He.at n=20A003912
- Degrees of irreducible representations of Held group He.at n=19A003912
- Number of ways in which n identical balls can be distributed among 6 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=7A005339
- a(n) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=25A014203
- Sum of digits in n-th term of A022482.at n=27A022487
- n written in fractional base 8/7.at n=24A024649
- Every run of digits of n in base 5 has length 2.at n=40A033003
- These numbers take a record number of steps to reach the top of the deck in Guy's shuffle (see A035485).at n=15A057983
- McKay-Thompson series of class 44c for Monster.at n=49A058683
- These numbers take a record number of steps to reach the top of the deck in Guy's shuffle (see A060750).at n=13A060751
- a(n) = 9*(n-2)^2 * (n^2 - 2*n - 1).at n=5A060788
- Ooguri-Vafa invariants of disk domain wall degeneracies for brane I in the O(K) -> P^1 X P^1 geometry.at n=4A061605
- Numbers which can be written as b^2*c^2*(b^2+c^2).at n=17A063663
- Numbers which can be expressed as the product of a number and its reversal in at least two different ways.at n=4A066531
- Numbers k such that k divides prime(k^2)+1.at n=19A067853
- Product of first n terms of the binomial transform of the Catalan numbers (A007317).at n=4A086619
- a(n) is the smallest number m such that n^2^k + m^2^k is prime for k=0,1,2,3 and 4.at n=22A090873