13724
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 24864
- Proper Divisor Sum (Aliquot Sum)
- 11140
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6624
- Möbius Function
- 0
- Radical
- 6862
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 120
- 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
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5) < cn(1,5).at n=61A036847
- Composite numbers k such that k!/k# - 1 is prime, where k# = primorial numbers A034386.at n=24A049421
- Number of strongly unimodal partitions of n (strongly unimodal means strictly increasing then strictly decreasing).at n=33A059618
- Number of cyclic subgroups of the group SL(n,4) (the group of nonsingular n X n matrices over GF(4) with determinant 1 ).at n=2A062315
- Numbers k such that k!/k#-1 is prime, where k# is the primorial function (A034386).at n=29A140293
- Numbers m such that m, m' and m'' are in arithmetic progression, where m' and m'' are the first and second arithmetic derivatives of m.at n=20A212409
- Number of nonnegative solutions to x^2 + y^2 + z^2 < n^2.at n=29A218711
- a(n) = Sum_{i=1..n} (-1)^{i+1} prime(i)^2, where prime(k) denotes the k-th prime: alternating sum of the squares of the first n primes.at n=34A240860
- Number of partitions of n with difference 4 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=39A242695
- Numbers n such that n^2 is a sum of 2 and also of 4 consecutive primes.at n=16A252066
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 726", based on the 5-celled von Neumann neighborhood.at n=31A273451
- Number of partitions of n in which the sequence of the sum of the same summands is increasing.at n=49A304428
- Numbers k such that the largest prime divisor of k^4+1 is less than k.at n=15A309562
- Numbers k such that k and 4k, taken together, contain all digits 1 though 9 at least once.at n=9A346135
- G.f. satisfies A(x) = 1 + x^5*A(x)^3 / (1 - x*A(x)).at n=25A365700