13464
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 42120
- Proper Divisor Sum (Aliquot Sum)
- 28656
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 1122
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- 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
- Congruence classes of triangles which can be drawn using lattice points in n X n grid as vertices.at n=16A028419
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 29.at n=3A031707
- Theta series of lattice D3 tensor D3* (dimension 9, det. 262144, min. norm 6).at n=20A033694
- Number of Dyck paths of length 2n with nondecreasing peaks.at n=12A048285
- a(n)^3 is smallest cube containing exactly n 4's.at n=7A048369
- Numbers whose cubes contain more than half the same digit and do not end in 0.at n=31A060814
- a(n) = 12*n*(n-1).at n=34A064200
- a(n) = 11*n^2 + 22*n.at n=33A067705
- Natural numbers that can be factored into the product of three positive integers whose minimal sum is achieved in more than one way.at n=11A112536
- Largest order of a permutation of n elements with exactly 4 cycles. Also the largest LCM of a 4-partition of n.at n=44A129649
- a(n) = n*(7*n-2).at n=44A135703
- Lower triangular array called S2hat(-4) related to partition number array A144284.at n=23A144285
- Third column (m=3) of triangle S2hat(-4) = A144285.at n=4A144340
- Eigentriangle, row sums = A001850, the Delannoy numbers.at n=42A152250
- a(n) = 841*n^2 + 2*n.at n=3A158403
- Number of permutations of 1..n with i-6 <= p(i) <= i+4.at n=7A179342
- Numbers of the form p^3*q^2*r*s where p, q, r, and s are distinct primes.at n=34A179700
- Number of lunar divisors (in base 10) of the n-th nonzero number whose decimal expansion contains only 0's and 1's (A007088(n)).at n=53A186951
- Number of 3-step one or two space at a time bishop's tours on an n X n board summed over all starting positions.at n=17A187047
- Row sums of an irregular triangle read by rows in which row n lists the next A026741(n+1) natural numbers A000027.at n=31A195309