13283
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13680
- Proper Divisor Sum (Aliquot Sum)
- 397
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12888
- Möbius Function
- 1
- Radical
- 13283
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 94
- 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
- Dowling numbers: e.g.f. exp(x + (exp(b*x) - 1)/b), with b=7.at n=5A003579
- Number of partitions satisfying cn(2,5) <= cn(1,5) + cn(4,5) and cn(3,5) <= cn(1,5) + cn(4,5).at n=35A039891
- Semiprimes in A054552.at n=19A113690
- Partial sums of floor(3^n/10)/2.at n=10A178828
- Position of 2^n in A051037 (5-smooth numbers).at n=64A188425
- Expansion of (1-x+19*x^3-3*x^4)/(1-x)^3.at n=42A195241
- Number of nX7 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.at n=4A224157
- Number of 5Xn 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.at n=6A224161
- (p^2 - 3)/2 for odd primes p.at n=36A243887
- Number of partitions of 1, 2, 3, or more copies of n into distinct parts.at n=20A258289
- G.f.: 1/((1-t^10)*(1-t)*(1-t^3)*(1-t^5)*(1-t^7)*(1-t^9)*(1-t^11)*(1-t^13)*(1-t^15)*(1-t^17)*(1-t^19)).at n=62A266750
- Number of set partitions of [n] such that the difference between each element and its block index is a multiple of ten.at n=31A274843
- Numbers k such that (184*10^k - 1)/3 is prime.at n=20A282340
- Greatest integer k such that k/Fibonacci(n) <= 3/4.at n=21A293631
- a(n) is the integer k that minimizes |k/Fibonacci(n) - 3/4|.at n=21A293633
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) - b(n-3), where a(0) = 1, a(1) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences.at n=16A295358
- G.f.: Sum_{k>=1} x^(2*k-1)/(1-x^(2*k-1)) * Product_{k>=1} (1+x^k)/(1-x^k).at n=18A305105
- Prime generating polynomial: a(n) = (4*n - 29)^2 + 58.at n=35A320772
- Let P1>=5, P2, P3 be consecutive primes, with P2-P1=2. a(n)=(P1+P2)/12 when P3-P2 sets a record.at n=12A329160
- Let P1 >= 5, P2, P3 be consecutive primes, with P2 - P1 = 2. a(n) = (P1 + P2)/12 for the first occurrence of (P3 - P2)/2 = n.at n=27A329252