13959
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 9081
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8280
- Möbius Function
- 0
- Radical
- 1551
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 107
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n that do not contain 1 as a part.at n=45A002865
- House numbers: a(n) = (n+1)^3 + Sum_{i=1..n} i^2.at n=21A051662
- Number of 3 X 3 stochastic matrices under row and column permutations.at n=43A052282
- Least positive integer coefficients of power series A(x) such that the coefficients of A(x)^2 + A(x) - 1 consist entirely of squares.at n=80A083352
- Number of partitions of n including 3, but not 1.at n=47A085811
- a(n) = Sum_{i=1..n} 2^(b(i) - 1), where b(n) is the differences between consecutive primes.at n=46A086769
- Positions where A109890(n) = Sum_{i = 1..n-1} A109890(i).at n=28A111315
- Number of partitions of n in which both smallest and largest part occur only once.at n=44A117995
- Records in A153004.at n=48A153838
- (A178476(n)-3)/9.at n=16A178486
- Bisection (odd part) of number of partitions that do not contain 1 as a part A002865.at n=22A182747
- Number of partitions of n that do not contain parts less than the smallest part of the partitions of n-1.at n=44A187219
- Smallest k such that the fundamental unit (x+y*w) or (x+y*w)/2 of the real quadratic field Q(sqrt(k)) obeys gcd(k,y)=n.at n=25A197170
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+329)^2 = y^2.at n=22A205672
- Number of n X 2 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=41A239594
- G.f. satisfies: A(x) = Sum_{n>=0} x^n / (1 - (n+1)*x*A(x)).at n=7A245389
- First differences of 1/p(n), reciprocal of the number p(n) of unrestricted partitions of n (negated numerator).at n=44A272339
- Number of length-n ternary sequences where the sum of each block differs by at most 1 from every other block of the same length.at n=40A274008
- Numbers k such that k and k+1 both have 16 divisors.at n=37A274359