10742
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16632
- Proper Divisor Sum (Aliquot Sum)
- 5890
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5200
- Möbius Function
- -1
- Radical
- 10742
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 130
- 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
- Shifts left under Stirling2 transform.at n=7A003659
- Triangle a(n,k) of number of M-sequences read by antidiagonals.at n=61A007723
- Number of M-sequences m_0,...,m_5 with m_1 < n.at n=4A011821
- Positive numbers k such that k and 2*k are anagrams in base 8 (written in base 8).at n=19A023073
- a(n) = d(n)/2, where d = A026040.at n=37A026041
- Concatenate n-th prime and n-th composite.at n=27A038530
- McKay-Thompson series of class 42d for Monster.at n=49A058678
- Numbers k such that k and 8*k, taken together, are pandigital.at n=7A114126
- Number of n X n arrays of squares of integers with every (n-1)X(n-1) subblock summing to 9 and every element equal to at least one neighbor.at n=2A146320
- Number of 3 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=40A188554
- G.f. satisfies: 1 = Sum_{n>=0} (-x)^(n*(n+1)/2) * A(x)^(n+1).at n=9A193111
- Number of n X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically.at n=5A207874
- Number of nX6 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically.at n=5A207877
- Number of (w,x,y,z) with all terms in {1,...,n} and w*x<=y*z+1.at n=12A212053
- a(n) = n*(13*n - 9)/2.at n=41A226488
- Number of partitions of n into 10 parts such that every i-th smallest part (counted with multiplicity) is different from i.at n=12A244246
- Number of partitions of prime(n) into n primes.at n=34A259254
- Number of partitions of prime(n) into n primes.at n=35A259254
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 54", based on the 5-celled von Neumann neighborhood.at n=30A270024
- 5-untouchable numbers.at n=22A284187