11566
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 17352
- Proper Divisor Sum (Aliquot Sum)
- 5786
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5782
- Möbius Function
- 1
- Radical
- 11566
- 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
- 50
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence for MgZn2, Position Zn1.at n=27A009937
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 72 ones.at n=10A031840
- Number of partitions of 5n such that cn(1,5) = cn(4,5) <= cn(0,5) <= cn(2,5) = cn(3,5).at n=11A036881
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A048149.at n=27A049712
- McKay-Thompson series of class 18C for the Monster group.at n=42A058533
- McKay-Thompson series of class 36A for Monster.at n=42A058644
- a(n)^2 + 1 is largest prime of the form x^2 + 1 <= 2^n.at n=26A083848
- G.f. = theta_4(0,x^4)/theta_4(0,x).at n=25A103258
- Numbers n such that Maple 9.5, Maple 10, Maple 11 and Maple 12 give the wrong answers for the number of partitions of n.at n=1A110375
- McKay-Thompson series of class 18C for the Monster group with a(0) = -3.at n=42A123676
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202676 based on (1,4,7,10,13,...); by antidiagonals.at n=16A202677
- McKay-Thompson series of class 18C for the Monster group with a(0) = -2.at n=42A215412
- McKay-Thompson series of class 18C for the Monster group with a(0) = 1.at n=42A215413
- Numbers n such that the sum of first n prime powers (A025475) is divisible by n.at n=7A225791
- McKay-Thompson series of class 36A for the Monster group with a(0) = 2.at n=42A227585
- Sum of the second largest parts in the partitions of n into 6 parts.at n=37A308872
- Indices n of Gram points g(n) for successive positive maxima of the Riemann zeta function on critical line.at n=32A327543
- a(n) is the index of the smallest n-gonal pyramidal number with exactly n prime factors (counted with multiplicity).at n=16A359016
- Record high points in A386487.at n=26A386488