11739
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
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 19712
- Proper Divisor Sum (Aliquot Sum)
- 7973
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6048
- Möbius Function
- 1
- Radical
- 11739
- Omega Function (Ω)
- 4
- 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
- 50
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Numbers k that divide s(k), where s(1)=1, s(j)=9*s(j-1)+j.at n=39A014857
- Odd numbers to the right of the central elements of the (2,3)-Pascal triangle A029600.at n=35A029616
- Distinct odd numbers in (3,2)-Pascal triangle A029618.at n=50A029626
- Odd numbers to left of central elements of the (3,2)-Pascal triangle A029618.at n=38A029630
- Positive numbers whose product of digits is 9 times their sum.at n=33A062041
- Number of integers k such that phi(k) = 10^n.at n=22A072074
- Matrix cube of triangle A113340.at n=16A113360
- Column 1 of triangle A113360, which equals the matrix cube of triangle A113340.at n=4A113361
- Convolution triangle of A006190.at n=50A132964
- 13 times triangular numbers.at n=42A152741
- Numbers having exactly four representations by the quadratic form x^2+xy+y^2 with 0<=x<=y.at n=33A198775
- Number of distinct values of Sum_{i=0..n} x(i)*binomial(n,i), where the x(i) is a vector of length n+1 that runs through all combinations of {0, 1}.at n=17A205536
- Products p*q*r*s of distinct primes for which (p*q*r*s - 1)/2 is prime.at n=25A234498
- Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 2 ("abcdefg" scheme: bits represent segments in clockwise order).at n=22A234692
- Numbers whose binary representation traces a non-selfcrossing circuit in the honeycomb lattice when each one of its bits, from the most significant to the least significant, is interpreted as a direction to proceed at each vertex.at n=43A255561
- Numbers m such that there are precisely 19 groups of order m.at n=6A298910
- Number of n X 3 0..1 arrays with every element unequal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.at n=6A304305
- Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.at n=2A304309
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.at n=38A304310
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.at n=42A304310