12481
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14272
- Proper Divisor Sum (Aliquot Sum)
- 1791
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10692
- Möbius Function
- 1
- Radical
- 12481
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- Number of intersections of diagonals in the interior of a regular n-gon.at n=25A006561
- Numbers k such that Fib(k) == -13 (mod k).at n=41A023167
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 88 ones.at n=6A031856
- Numbers ending with '1' that are the difference of two positive cubes.at n=40A038856
- Numerators of continued fraction convergents to sqrt(390).at n=7A041740
- Centered 16-gonal numbers.at n=39A069129
- Shallow diagonal of triangular spiral in A051682.at n=26A081275
- Third row of Pascal-(1,7,1) array A081582.at n=20A081593
- Initial terms of chains consisting of four consecutive integers, for none of which is the value of sigma-function divisible by six.at n=6A097020
- Numbers m with the following property. Suppose m = d1 d2 ... dk in base 10. Construct the sequence with first term d1 and successive differences d1 d2 ... dk d1 d2 ... dk d1 d2 ...; then this sequence has as its initial k digits d1 d2 ... dk and also contains the number m.at n=15A107070
- Semiprimes in A003215.at n=25A113530
- Number of partitions of 3-smooth numbers into parts not greater than 3.at n=30A117220
- Largest number k such that k^2 divides A007781(6n+1).at n=31A127854
- Numbers k such that 2*prime(k+2) + product (first k odd primes) is prime, i.e., k such that primorial(k+1)/2 + 2*prime(k+2) is prime.at n=20A139461
- a(n) = 128*n^2 - 32*n + 1.at n=9A157331
- Rectangular array, read by antidiagonals, where row e.g.f.s, R(n,x), satisfy: d/dx log( R(n,x) ) = R(n+1,x)^(2^n) with R(n,0) = 1; that is, the logarithmic derivative of the e.g.f. of row n equals the e.g.f. of row n+1 to the 2^n power, for n>=0.at n=48A159314
- Cuban composites: composite numbers equal to the difference of two consecutive cubes.at n=32A159961
- Fourth powers (n * n * n * n) in carryless arithmetic mod 10.at n=13A169886
- Fourth powers (n * n * n * n) in carryless arithmetic mod 10.at n=39A169886
- Numbers k>1 such that phi(phi(k)) = sigma(sopf(k)).at n=43A173337