7755
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 6069
- 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
- 3680
- Möbius Function
- 1
- Radical
- 7755
- 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
- 52
- 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
- Numbers k such that the Woodall number k*2^k - 1 is prime.at n=16A002234
- Numbers whose sum of divisors is a cube.at n=40A020477
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 16.at n=10A031694
- Restricted permutations.at n=16A036999
- Table T(n,k) = Sum_{i=0..2n} (C(2n,i) mod 2)*F(i+k) = Sum_{i=0..n} (C(n,i) mod 2)*F(2i+k).at n=55A050609
- a(n) = Sum_{i=0..n} (C(n,i) mod 2)*Fibonacci(2*i).at n=10A051656
- Smallest multiple of n with no isolated digits.at n=46A052191
- Expansion of g.f. (1+x)*Product_{m>0} (1 + x^m).at n=51A052816
- Numbers k such that the Lucas Aurifeuillian primitive part A of Lucas(k) is prime.at n=42A061442
- Smallest j with n nodes in its riff (rooted index-functional forest).at n=15A062860
- Convolution triangle of A030266, which shifts left under self-COMPOSE.at n=59A125278
- Odd interprimes divisible by 11.at n=38A126230
- Row sums of triangle A131424.at n=35A131425
- Odd squarefree numbers n such that the cyclotomic polynomial Phi(n,x) has height 4.at n=35A152942
- a(n) = (2*n + 1)*(5*n + 6).at n=27A153127
- Terms in A046034 which are pairwise products of terms in A046034.at n=17A153446
- a(n) = 121*n^2 + 11.at n=8A158536
- Joint-rank array of odd prime powers: p(i+1)^j, i>=1, j>=1, read by antidiagonals.at n=29A182870
- Total number of n-digit numbers requiring 9 positive biquadrates in their representation as sum of biquadrates.at n=4A186664
- Numbers n such that n+/-2 and n^2+/-2 are all primes.at n=11A189051