5637
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
- 4
- Divisor Sum
- 7520
- Proper Divisor Sum (Aliquot Sum)
- 1883
- 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
- 3756
- Möbius Function
- 1
- Radical
- 5637
- Omega Function (Ω)
- 2
- 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
- 85
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Coordination sequence T2 for Zeolite Code MTT.at n=46A008190
- Convolution of Fibonacci numbers and (1, prime(1), prime(2), ...).at n=14A023608
- 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 50.at n=20A031548
- Lucky numbers with size of gaps equal to 20 (upper terms).at n=12A031903
- Positive numbers having the same set of digits in base 9 and base 10.at n=26A037443
- Maximal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=16A045614
- Let u(1) = x and u(n+1) = (n^2/u(n)) + 1 for n >= 1; then a(n) is such that u(n) =(a(n)*x + b(n))/(c(n)*x + d(n)) (in lowest terms) and a(n), b(n), c(n), d(n) are positive integers.at n=8A075827
- Numbers n which when converted to some base between 2 and 9 yield a result with the same digits as n in a different order.at n=44A090144
- Triangle read by rows: T[n,k] = number of n X n binary matrices with k=0...n^2 ones, distinct up to cyclic shifts of rows and columns; reflection through any vertical or horizontal axis; and reflection through the main diagonal. Also, quasi-n-ominoes on a torus divided into a k X k grid.at n=51A093466
- Triangle read by rows: T[n,k] = number of n X n binary matrices with k=0...n^2 ones, distinct up to cyclic shifts of rows and columns; reflection through any vertical or horizontal axis; and reflection through the main diagonal. Also, quasi-n-ominoes on a torus divided into a k X k grid.at n=42A093466
- Numbers k such that the representation of phi(k) is a cyclic permutation of that of k, in base 10.at n=6A113781
- Numbers k such that the decimal digits of phi(k) are a permutation of those of k.at n=11A115921
- Number of essentially different semi-magic squares of order 3 with semimagic sum n.at n=22A122751
- Positive numbers n such that 8*n^2-2*n-1 divides Fibonacci(n).at n=31A159259
- Last term where no prime sums occur in A161190 in a 4-diagonal set of 24 terms.at n=0A161193
- a(n) = (5*n^2 + 5*n - 6)/2.at n=46A166151
- Number of n X n 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,0,1,3,4 for x=0,1,2,3,4.at n=6A195970
- Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,1,3,4 for x=0,1,2,3,4.at n=6A195977
- Number of n X 1 0..3 arrays with values 0..3 introduced in row major order and each element equal to one or two horizontal and vertical neighbors.at n=14A199142
- Minimum value unattainable as the sum of 2 attained values of a*b*c with a,b,c 0..n integers.at n=17A225264