13548
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 31640
- Proper Divisor Sum (Aliquot Sum)
- 18092
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4512
- Möbius Function
- 0
- Radical
- 6774
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 45
- 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
- Fifth subdiagonal in array of n-gonal numbers A081422.at n=23A081436
- Numbers k such that k and 2*k, taken together are pandigital.at n=1A115922
- Number of partitions of n such that even parts occur at most once and odd parts occur at most twice.at n=52A118246
- Riordan array (1/u,(1-u)/2), u=sqrt(1-4x+4*x^3).at n=46A168151
- 0 followed by the sum of (1),(2), (3,4),(5,6), (7,8,9),(10,11,12) from the natural numbers.at n=47A235355
- Zeroless numbers n with digits d_1, d_2, ... d_k such that d_1^3 + ... + d_k^3 is a cube.at n=49A254960
- Sum over all partitions lambda of n into 4 distinct parts of Product_{i:lambda} prime(i).at n=6A258359
- Number of nX4 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=13A280436
- Number of 2 X 2 matrices with all terms in {-n,...,0,...,n} and (sum of terms) = permanent.at n=30A280914
- Numbers k such that (49*10^k - 67)/9 is prime.at n=19A291609
- Sum over all partitions lambda of n^2 into n distinct parts of Product_{i:lambda} prime(i).at n=4A321267
- Number of length-n binary words having no palindromes of length > 5 as contiguous subwords.at n=22A329824
- Triangle read by rows: Take an equilateral triangle with all diagonals drawn, as in A092867. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n+2 and where n is the number of equal parts each side is divided into.at n=67A331911
- Triangle read by rows: T(n,k) = number of permutations in symmetric group S_n with an even number of non-fixed point cycles, without k<=n particular fixed points.at n=39A374419
- Number of integer partitions of n with fewer ones than greatest multiplicity.at n=39A382526