14131
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15232
- Proper Divisor Sum (Aliquot Sum)
- 1101
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13032
- Möbius Function
- 1
- Radical
- 14131
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 102
- 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
- no
- Odd
- yes
Appears in sequences
- a(1) = a(2) = 1, a(3) = 4; thereafter a(n) = a(n-1) + a(n-3).at n=24A001609
- a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 9's.at n=4A048547
- The number of different classes of 2-dimensional convex lattice polytopes having volume n/2 up to unimodular equivalence.at n=39A187015
- a(n) = A001609(n^2) for n>=1, where g.f. of A001609 is x*(1+3*x^2)/(1-x-x^3).at n=4A228647
- Number of partitions of n such that the number of parts having multiplicity 1 is a part and the number of distinct parts is not a part.at n=40A241444
- Numbers k such that k!6 + 36 is prime, where k!6 is the sextuple factorial number (A085158 ).at n=25A288449
- Numbers with property that both the digit sum and the sum of the prime factors (counted with multiplicity) have only digits 0 and 1 in base 10.at n=13A297614
- a(n) = [x^n] Product_{k>=1} ((1 + x^k)/(1 + x^(5*k)))^n.at n=8A304629
- Records in A171797 starting from a(1).at n=27A305396
- Polycyclic aromatic hydrocarbons (for precise definition see He and He, 1986).at n=9A323926
- Triangle read by rows: T(n,k) is the number of unlabeled simple series-reduced 2-connected graphs with n nodes and k edges (n >= 4, ceiling(3*n/2) <= k <= n*(n-1)/2).at n=45A339069
- Numbers that are the sum of seven fourth powers in five or more ways.at n=29A345571
- Numbers that are the sum of seven fourth powers in exactly five ways.at n=28A345827
- a(n) = round(c^n), where c is the supergolden ratio A092526.at n=25A382641
- a(n) = a(n-1)+2*a(n-2)+a(n-3) with a(0)=1, a(1)=4, a(2) = 6.at n=12A384367