7502
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12768
- Proper Divisor Sum (Aliquot Sum)
- 5266
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3300
- Möbius Function
- 0
- Radical
- 682
- Omega Function (Ω)
- 4
- 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
- 62
- 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
- Number of points on surface of hexagonal prism: 12*n^2 + 2 for n > 0 (coordination sequence for W(2)).at n=25A005914
- Numbers k such that 87*2^k+1 is prime.at n=22A032393
- Numbers whose base-3 representation has exactly 9 runs.at n=31A043589
- Numbers n such that number of runs in the base 3 representation of n is congruent to 0 mod 9.at n=31A043806
- Numbers k such that number of runs in the base 3 representation of k is congruent to 9 mod 10.at n=31A043824
- Numbers whose base-5 representation contains exactly three 0's and three 2's.at n=6A045187
- a(n) = (Lucas(2*n) - Lucas(n))/2.at n=10A049681
- Jordan function J_5(n).at n=5A059378
- Array of values of Jordan function J_k(n) read by antidiagonals (version 1).at n=49A059379
- Array of values of Jordan function J_k(n) read by antidiagonals (version 2).at n=50A059380
- a(n) = Product_{i=1..n} J_5(i).at n=2A059384
- Jordan function J_n(6) (see A059379).at n=5A059387
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=23A063368
- Sum of terms in periodic part of continued fraction expansion of square root of 1+2^n.at n=20A077628
- Index k of the first occurrence of A019565(2n-1) as the smallest term that makes prime(k)-A019565(2n-1) prime.at n=27A103792
- a(n) = 2*n*(4*n-3).at n=31A139271
- a(n) = number of components of the graph P(n,2) (defined in Comments).at n=19A145667
- a(n) = (1 + 3*n)*(4 + 3*n)/2.at n=40A145910
- Table T(n,k) counts the involutions of n with longest increasing contiguous subsequence of length k.at n=58A178249
- Jordan function J_{-5}(n) multiplied by n^5.at n=5A189923