7635
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12240
- Proper Divisor Sum (Aliquot Sum)
- 4605
- 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
- 4064
- Möbius Function
- -1
- Radical
- 7635
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 83
- 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
- Boustrophedon transform (first version) of Fibonacci numbers 0,1,1,2,3,...at n=8A000738
- Centered tetrahedral numbers.at n=22A005894
- a(n) = n*(17*n - 1)/2.at n=30A022274
- s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (composite numbers).at n=29A025102
- Expansion of (1-x^8)*(1+x^5)/(1-x^2)^5.at n=44A027635
- Expansion of (1-x^8)*(1+x^5)/(1-x^2)^5.at n=49A027635
- Expansion of Molien series for 4-D extraspecial group 2^{1+2*2}.at n=44A030533
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 29.at n=28A031527
- C(2*n+4,4)-C(2*n,4).at n=11A085474
- Ulam's spiral (ENE spoke).at n=22A143856
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 0110-1111-0100 pattern in any orientation.at n=9A146593
- Fourth entry in row n of triangle in A169945.at n=16A169948
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A115216; by antidiagonals.at n=31A202868
- Second elementary symmetric function of the first n terms of (1,2,3,5,8,...).at n=7A203245
- G.f.: Sum_{n>=0} n!*x^(n*(n+1)/2) / Product_{k=1..n} (1 - (n-k+1)*x^k).at n=12A204857
- Number of length 5 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than n.at n=17A205342
- Number of palindromic partitions of n with greatest part of multiplicity 2.at n=53A238779
- Indices of the start of 9 successive distinct digits in the decimal expansion of Pi.at n=22A258158
- Number of binary words of length n such that for every prefix the number of occurrences of subword 101 is larger than or equal to the number of occurrences of subword 010.at n=14A260668
- Preperiod (or threshold) of orbit of Post's {00, 1101} tag system applied to the word (100)^n, or -1 if this word has an unbounded trajectory.at n=39A284119