13301
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13632
- Proper Divisor Sum (Aliquot Sum)
- 331
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12972
- Möbius Function
- 1
- Radical
- 13301
- 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
- 138
- 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
- Euler transform of A000389.at n=7A000417
- Numbers k such that the continued fraction for sqrt(k) has period 86.at n=38A020425
- Self-convolution of (1, p(1), p(2), ...).at n=22A023626
- Numerators of continued fraction convergents to sqrt(359).at n=4A041680
- n*10^4-1, n*10^4-3, n*10^4-7 and n*10^4-9 are all prime.at n=1A064978
- Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3.at n=30A070192
- Numerators of convergents to log_2(10).at n=7A073733
- Determinant of M(n), the n X n matrix defined by m(i,i) = 1, m(i,j) = i-j.at n=20A079034
- Sequence A085188 shown in factorial base. (The longest prefix which can be shown with digits < 10.)at n=39A085187
- Factorial expansions of the entries in A085216.at n=26A085218
- 6*a(n) is the gap between sexy prime triples in the n-th sexy prime triple triple whose initial term is 5.at n=7A090775
- Sum k=0..n, C(n-k, floor(k/2))4^k.at n=9A097336
- Positions of records in A064097.at n=22A105017
- First gap of length at least n in A007950, lower end.at n=11A139386
- First gap of length at least n in A007950, lower end.at n=12A139386
- Number of representations of n as a sum of products of pairs of positive integers, considered to be equivalent when terms or factors are reordered.at n=28A182269
- G.f. satisfies: A(x) = Product_{n>=1} 1/(1 - x^n*A(x)^(n^3)).at n=6A192783
- Primitive numbers in A229305.at n=45A229309
- Primitive numbers in A229306.at n=32A229310
- Semiprimes of the form S(n) + T(n) where S(n) and T(n) are the n-th square and the n-th triangular numbers.at n=18A240914