16153
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
- 4
- Divisor Sum
- 16740
- Proper Divisor Sum (Aliquot Sum)
- 587
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15568
- Möbius Function
- 1
- Radical
- 16153
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 190
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 39.at n=34A020378
- a(n) = [ 3rd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=18A025203
- Numbers k such that x^k + x^10 + 1 is irreducible over GF(2).at n=10A057480
- Triangle formed when the cumulative boustrophedon transform is applied to 1, 1, 1, 1, ..., read by rows from left to right.at n=22A059433
- Triangle formed when cumulative boustrophedon transform is applied to 1, 1, 1, 1, ..., read by rows in natural order.at n=26A059434
- Number of solutions to the equation p_i = (1+mod(i,2))*p_{i-1} +- p_{i-2} +- p_{i-3} +- ... +- 2 +- 1, where p_i is the i-th prime number (where p_1 = 2 and the "zeroth prime" p_0 is defined to be 1).at n=22A059871
- Numbers k such that sopf(k) = sopf(k+3), where sopf(k) = A008472(k).at n=20A063969
- Numbers n such that sum of squares of even digits of n equals sum of squares of odd digits of n.at n=24A076164
- Number of 5-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero and first and second differences in -n..n.at n=24A208972
- Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal.at n=4A236868
- Number of (n+1)X(5+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal.at n=0A236872
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal.at n=10A236875
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal.at n=14A236875
- a(n) = numerator of (1/n^3)*(-1/(n+1) + 16/(n+2) + 3/(4*(2*n+1)) - 81/(4*(2*n+3))), term of a BBP-type series representation of zeta(3) by V. Adamchik and S. Wagon.at n=15A256323
- Numbers k such that (2*10^k - 23)/3 is prime.at n=16A293000
- Expansion of Product_{k>=1} 1/(1 - x^(2*k-1))^(k*(3*k-1)/2).at n=17A294669
- Numbers k such that (10^k/8 + 1)/9 is prime.at n=11A296059
- Composite hypotenuses of primitive Pythagorean triangles (A120961) that are not circumdiameters of non-Pythagorean primitive Heronian triangles (A285579).at n=19A329148
- Number of vertices in regular n-gon after 2 generations of mitosis.at n=21A349967