10154
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15234
- Proper Divisor Sum (Aliquot Sum)
- 5080
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5076
- Möbius Function
- 1
- Radical
- 10154
- 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
- 42
- 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
- Expansion of e.g.f. tan(tanh(x))*exp(x).at n=10A009716
- Expansion of tanh(tan(x))*sin(x).at n=5A009811
- Population of "Triangle" cellular automaton at n-th generation.at n=42A018189
- Numbers k such that the continued fraction for sqrt(k) has period 53.at n=16A020392
- Numbers in which all pairs of consecutive base-7 digits differ by 3.at n=37A033078
- Number of partitions in parts not of the form 17k, 17k+1 or 17k-1. Also number of partitions with no part of size 1 and differences between parts at distance 7 are greater than 1.at n=43A035962
- Base-7 palindromes that start with 4.at n=27A043018
- Numbers k such that sigma(sigma(k) - k) = phi(sigma(k) + k).at n=9A074886
- Expansion of Product_{m>=1} (1+m*(m+1)*q^m).at n=10A092485
- Table, read by antidiagonals, of iterated binomial transforms of A095148, which also forms the antidiagonal sums shift right.at n=51A095788
- Numbers k such that sigma(k) plus the k-th prime is a triangular number.at n=29A115907
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+x+y>1.at n=14A211613
- Number of binary arrays of length n+9 with fewer than 5 ones in any length 10 subsequence (=less than 50% duty cycle).at n=6A213115
- Number of binary arrays of length 2*n+6 with fewer than n ones in any length 2n subsequence (=less than 50% duty cycle).at n=4A213124
- Number of (w,x,y) with all terms in {0,...,n} and x != min(|w-x|, |x-y|).at n=21A213502
- Number of partitions of n such that the number of even parts is a part and the number of odd parts is not a part.at n=39A240577
- Numbers n such that (k!+n)/(k+n) is prime for some k.at n=16A242916
- Number of (n+2)X(3+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4.at n=3A252338
- Number of (n+2)X(4+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4.at n=2A252339
- T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4.at n=17A252343