10149
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 4251
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6336
- Möbius Function
- -1
- Radical
- 10149
- 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
- 135
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor( exp(7/10)*n! ).at n=6A030949
- Nearest integer to log(n^n)^(1 + log(log(1 + n))).at n=22A062480
- a(n) = n!*Sum_{k=0..n} Fibonacci(k)/k!.at n=7A111139
- sigma(n) + phi(n) is a fourth power.at n=6A114068
- Where records occur in A118878.at n=17A119904
- Binary order of n plus number of partitions of n-1.at n=33A163295
- Numbers k such that the average digit of k^2 is 1.at n=10A164771
- Numbers n such that m=(n^2+1)/2, p=(m^2+1)/2 and q=(p^2+1)/2 are all prime.at n=10A188546
- Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and even nonnegative determinant.at n=5A211156
- Number of length 5+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third.at n=17A248438
- Numbers k such that 3 is the largest decimal digit of k^2.at n=10A277960
- Numbers n such that sigma(n^3) is the sum of two positive cubes.at n=28A281364
- Expansion of Sum_{i = p*q, p prime, q prime} x^i/(1 - x^i) / Product_{j>=1} (1 - x^j).at n=30A281612
- Number of partitions of n such that the (sum of distinct even parts) > n/2.at n=41A284618
- Number of partitions of n such that the (sum of distinct even parts) >= n/2.at n=41A284619
- Numbers k such that (26*10^k - 413)/9 is prime.at n=15A293593
- Number of nX3 0..1 arrays with each 1 adjacent to 1, 3 or 4 king-move neighboring 1s.at n=6A296799
- Number of nX7 0..1 arrays with each 1 adjacent to 1, 3 or 4 king-move neighboring 1s.at n=2A296803
- T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1, 3 or 4 king-move neighboring 1s.at n=38A296804
- T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1, 3 or 4 king-move neighboring 1s.at n=42A296804