13832
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
- 32
- Divisor Sum
- 33600
- Proper Divisor Sum (Aliquot Sum)
- 19768
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 3458
- Omega Function (Ω)
- 6
- 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
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Taxi-cab numbers: sums of 2 cubes in more than 1 way.at n=2A001235
- Number of partitions satisfying (cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)).at n=43A036802
- a(n)^3 is smallest cube containing exactly n 6's.at n=6A048371
- Numbers that are the sum of two (possibly negative) cubes in at least 2 ways.at n=40A051347
- Numbers whose 4th power can be expressed as the sum of two positive cubes in more than one way.at n=8A051388
- Number of partitions into at most a(1) copies of 1, a(2) copies of 2, ...at n=49A052337
- Numbers whose cubes contain more than half the same digit and do not end in 0.at n=33A060814
- a(n) = binomial(2*n,n) mod ((n+1)*(n+2)*(n+3)).at n=36A065345
- Numbers which are the sum of two positive cubes and divisible by 19.at n=32A102619
- Numbers n such that 3*10^n-7 is prime.at n=12A102964
- a(1) = 1+2-3 = 0, a(2) = 4+5+6-7 = 8, a(3) = 8+9+10+11-12 = 26, a(4) = 13+14+15+16+17-18 = 57, ...at n=28A111694
- Numbers k such that 7^k + 2 is semiprime.at n=21A119720
- Site series for second parallel moment of 4.8 (bathroom tile) lattice.at n=18A120559
- Number of (directed) Hamiltonian paths in the n-Möbius ladder graph.at n=16A137883
- Multiples of 1729, the Hardy-Ramanujan number.at n=8A138129
- Difference between the cubes and 2*tetrahedral numbers; A000578(n) - 2*A000292(n).at n=28A146298
- 7 times octagonal numbers: a(n) = 7*n*(3*n-2).at n=26A153797
- a(n) = n^3 + (n+2)^3.at n=18A153976
- Number of 4-step self-avoiding walks on an n X n square summed over all starting positions.at n=20A188149
- Antidiagonal sums of the convolution array A213783.at n=25A213760