14850
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 44640
- Proper Divisor Sum (Aliquot Sum)
- 29790
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3600
- Möbius Function
- 0
- Radical
- 330
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 133
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- a(n) = 225*(n-1)*(n-2)/2.at n=10A027470
- Expansion of 1/((1-7x)(1-8x)(1-10x)(1-11x)).at n=3A028222
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= n/2.at n=22A047168
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= (n-1)/2.at n=22A047179
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-1)/3.at n=35A048015
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-2)/3.at n=35A048026
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-3)/3.at n=35A048037
- Perfectly partitioned numbers: numbers k that divide the number of partitions p(k).at n=12A051177
- a(n) = 3*(n-2)*(n-3)*(3*n^2-9)*(3*n^2-9*n-5)/2.at n=3A064195
- Composite numbers k such that the difference between the odd and even aliquot parts of k divides k.at n=18A066193
- Sum of terms in n-th row of A077316.at n=21A077318
- Numbers n such that 6n+5, 6n+11, 6n+17, 6n+23 are consecutive primes or 6n+1, 6n+7, 6n+13, 6n+19 are consecutive primes.at n=31A090833
- Numbers k such that 6*k+1, 6*k+7, 6*k+13, 6*k+19 are consecutive primes.at n=15A090839
- Integers that can be expressed as a product of triangular numbers in 3 different ways.at n=2A110904
- a(n) = 1331*n - 1122.at n=11A157441
- Numbers such that n^2 = 29 mod 1193.at n=24A165989
- a(n) = AR(n) is the total number of aperiodic k-reverses of n.at n=19A180322
- Second accumulation array of A185780, by antidiagonals.at n=69A185783
- 15 times triangular numbers.at n=44A194715
- Number of 0..n arrays x(0..4) of 5 elements with each no smaller than the sum of its two previous neighbors modulo (n+1).at n=9A207102