12256
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 11936
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6112
- Möbius Function
- 0
- Radical
- 766
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- McKay-Thompson series of class 5A for the Monster group.at n=5A007251
- If d,e are consecutive digits of n in base 7, then |d-e|>=5.at n=34A032995
- Denominators of continued fraction convergents to sqrt(573).at n=7A042099
- Denominators of continued fraction convergents to sqrt(640).at n=10A042229
- McKay-Thompson series of class 5A for Monster.at n=5A045482
- Numbers n such that phi(2n-1) = sigma(n).at n=34A067230
- Numbers k such that sigma(k) = phi(k*omega(k)-1).at n=44A067878
- Numbers k such that 2^k mod phi(k) = 2^phi(k) mod k.at n=46A069050
- a(n) = Sum_{k=0..n} S(k)*S(n-k), convolution of S=A001644 with itself.at n=11A073782
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both semiprime.at n=20A085774
- A000041(n) - A000203(n).at n=33A086738
- Triangle read by rows: T(n,k) is the number of noncrossing trees with n edges in which the leftmost leaf is at level k.at n=52A101409
- Hidden fractal sequence: increasing sequence all of whose successive digits are the digits of the fractal sequence A025480 (which is built upon the natural counting numbers).at n=24A108685
- a(n) = (2+n)*2^n-2-3*n.at n=9A131438
- Numbers k such that k, k + 1 and k + 2 are 3 consecutive Harshad numbers.at n=33A154701
- The largest integer that cannot be written as the sum of squares of integers larger than n.at n=42A193018
- The largest integer that cannot be written as the sum of squares of integers larger than n.at n=43A193018
- Number of white square subarrays of (n+1) X (2+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero.at n=14A230983
- Number of black square subarrays of (n+1) X (2+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero.at n=14A231067
- Number of pairs of functions (f,g) from a set of n elements into itself satisfying f(g(f(x))) = f(f(g(x))).at n=4A239782