14287
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17696
- Proper Divisor Sum (Aliquot Sum)
- 3409
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11232
- Möbius Function
- -1
- Radical
- 14287
- 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
- 195
- 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
- Number of partitions of 3n-1 into n nonnegative integers each no more than 6.at n=25A001978
- a(n) = (n^4 + n)/2 (Row sums of an n X n X n magic cube, when it exists).at n=13A027441
- Expansion of 1/((1-4x)(1-9x)(1-10x)(1-12x)).at n=3A028162
- a() = 1,3,... [ A037257 ], differences = 2,... [ A037258 ] and 2nd differences [ A037259 ] are disjoint and monotonic; adjoin next free number to 2nd differences unless it would produce a duplicate in which case ignore.at n=38A037257
- Numbers of the form k*(k^3 +- 1)/2.at n=25A057590
- a(n) is the numerator of b(n) where b(n)=1/b(n-1)+1/b(n-2) with b(1)=1 and b(2)=2.at n=6A057677
- Terms of A072390 (sums of two powers of 13) divided by 2.at n=11A073220
- Group the natural numbers such that the n-th group sum is divisible by prime(n): (1, 2, 3), (4, 5), (6, 7, 8, 9), (10, 11), (12, 13, 14, 15, 16, 17, 18, 19, 20, 21), ... Sequence contains the sum of the terms in the n-th group.at n=36A086491
- Magic constant of smallest order-n perfect magic cube.at n=12A109130
- Numbers k such that k^2 is the concatenation of two numbers m and 9*m.at n=0A115554
- Products of three distinct primes of the form 6*k + 1.at n=30A154729
- Numerator of Bernoulli(n, -3/8).at n=4A158701
- Expansion of Product_{k>=1} 1/(1 - x^(2*k+1))^(2*k+1).at n=27A263199
- Numbers k such that k-1 | concat(k, k+1).at n=14A281233
- L.g.f.: log(Product_{k>=1} (1 + x^k/(1 - x))) = Sum_{k>=1} a(k)*x^k/k.at n=50A307761
- Triangle read by columns: T(n,k) is the number of functions from an n-element set to a k-element set that are not one-to-one, k>=n>=1.at n=25A347034
- Numbers k that are neither primes nor squares of primes such that A006134(k) - A102283(k) is divisible by k.at n=43A373763
- Integers k such that 511*2^k - 1 is prime.at n=29A387925