7576
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14220
- Proper Divisor Sum (Aliquot Sum)
- 6644
- 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
- 3784
- Möbius Function
- 0
- Radical
- 1894
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 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
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=48A002134
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=19A020417
- Pair up the numbers.at n=37A030655
- 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 21.at n=36A031519
- Multiplicity of highest weight (or singular) vectors associated with character chi_80 of Monster module.at n=36A034468
- T(n+4,4) with T as in A036355.at n=7A036683
- Partition the concatenation 1234567...of natural numbers into successive strings which are even, all different and > 2. (0 never taken as the most significant digit.)at n=47A077295
- Solution to the non-squashing boxes problem (version 1).at n=30A089054
- Expansion of g.f. Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 7.at n=23A091778
- G.f.: (1+3*x^3)/((1-x)^2*(1-x^3)^2).at n=45A092352
- Nontrivial slowest increasing sequence whose succession of digits is that of the nonnegative integers.at n=38A098080
- Numbers k such that k and k^2 use only the digits 3, 5, 6, 7 and 9.at n=5A137133
- Y values of the complete set of 23 integer solutions to the Ochoa curve equation.at n=13A141145
- G.f.: Product_{n>=1} (1 + a(n)*x^n/n!) = Sum_{n>=0} (n+1)^(n-1)*x^n/n! = LambertW(-x)/(-x).at n=5A159310
- T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=22A240260
- Number of 2Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=5A240261
- Where zeros occur in A065806.at n=14A241671
- Numbers k such that k, k+1, k+2, and k+3 are not divisible by any of their nonzero digits.at n=33A244358
- The 240-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=25A244805
- Natural numbers n that have the property that starting from k = n, the fixed point of the map k -> floor(tan(k)) is strictly positive, while the smallest number encountered during the iteration is strictly negative.at n=46A258202