11442
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 22896
- Proper Divisor Sum (Aliquot Sum)
- 11454
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3812
- Möbius Function
- -1
- Radical
- 11442
- 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
- 81
- 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
- yes
- Odd
- no
Appears in sequences
- OR-convolution of squares A000290 with themselves.at n=25A033459
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,0.at n=6A037625
- McKay-Thompson series of class 10A for Monster.at n=10A058097
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=35A063368
- Number of partitions of 2*n into distinct parts with exactly two odd parts.at n=33A096914
- Numbers n such that n/6 and prime(n)+/-n are all primes.at n=21A105550
- Number of aperiodic ternary necklaces with n beads of each color and no adjacent beads of the same color.at n=6A141148
- a(0)=2, a(n) = n^2+a(n-1).at n=32A153056
- Number of zig-zag paths from top to bottom of a rectangle of width 10 with n rows.at n=11A153360
- a(n) = A056520(n)+1 for n>0, a(0)=1.at n=32A179904
- G.f.: Sum_{n>=0} x^(n*(n+1)/2) / Product_{k=1..n} (1 - k*x^k).at n=24A204856
- G.f. satisfies: A(x) = 1/Product_{n>=1} (1 - 2*x^n*A(x^n)).at n=6A205772
- Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|=2|x-y|+2|y-z|.at n=36A212576
- Sum of smallest parts of all partitions of n into an even number of parts.at n=36A222045
- Number of nX4 0..2 arrays with no more than floor(nX4/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.at n=4A222584
- Number of nX5 0..2 arrays with no more than floor(nX5/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.at n=3A222585
- T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.at n=31A222587
- T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.at n=32A222587
- Integers n such that n!/(n-2) + 1 is prime.at n=27A271376
- Numbers k such that (28*10^k + 149)/3 is prime.at n=19A293281