12792
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
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 35280
- Proper Divisor Sum (Aliquot Sum)
- 22488
- 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
- 3198
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 76
- 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
- a(n) = Sum_{k=0..2n-1} T(n,k) * T(n,k+1), with T given by A026552.at n=5A027273
- Multiplicity of highest weight (or singular) vectors associated with character chi_185 of Monster module.at n=39A034573
- Differences between two successive prime powers of prime numbers (A076707) in more than one way.at n=33A077257
- Differences between two successive powers of a prime but not a prime (A025475) in more than one way.at n=34A077274
- Integers that occur more than once as the difference of the squares of two consecutive primes.at n=41A078667
- Numbers that can be expressed as the difference of the squares of consecutive primes in just two distinct ways.at n=38A090784
- Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and have k pyramids (a pyramid is a sequence u^pd^p or U^pd^(2p) for some positive integer p, starting at the x-axis).at n=31A108445
- Slowest increasing sequence that starts with 2 and has property that multiplying two consecutive terms gives a number which does not share a digit with either of the two terms.at n=46A129513
- Numbers such that the digital sums in bases 3, 4, 5 and 6 all are equal.at n=21A135126
- Numbers such that the digital sums in bases 3, 4, 5, 6 and 7 all are equal.at n=9A135129
- Numbers k such that sigma_2(k)*sigma_1(k)/sigma_0(k) is a perfect square.at n=10A152218
- Number of (n+2)X3 0..2 arrays with each 3X3 subblock nonsingular.at n=0A184780
- T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock nonsingular.at n=0A184784
- Number of nonsingular n X n matrices with elements from {0,1,2}.at n=3A197487
- Numbers n such that 10^(2n+1) + 21*10^n + 1 is prime.at n=13A212129
- a(n) = (A216363(n) - 1)/118.at n=24A216380
- a(k) such that A225258 column k of T(n,k) = n*k^3 - a(k) for large n.at n=30A225263
- Number of tilings of a 5 X n rectangle using n pentominoes of shapes F, U, N.at n=26A234931
- Maximum size of a class of binary words of length n having the same prefix normal form.at n=26A238110
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n (n>=1) having k (0<=k<=n-1) upper interactions.at n=60A247285