16125
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 27456
- Proper Divisor Sum (Aliquot Sum)
- 11331
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8400
- Möbius Function
- 0
- Radical
- 645
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 97
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = (n+1)*(n+3)*(n+8)/6.at n=43A000297
- a(n) = (4*n+1)*(4*n+5).at n=31A003185
- Numerators of continued fraction convergents to sqrt(329).at n=7A041620
- Column 0 of triangle A118438.at n=14A118439
- Integer log of (numerator of convergent to E / denominator of convergent to E) = A001414(A007676/A007677) = A001414(A007676)-A001414(A007677).at n=14A136122
- Third trisection of A061037.at n=41A142600
- a(n) = (8*n+5)*(8*n+9).at n=15A146302
- Quintisection A061037(5*n+2).at n=25A165248
- Integers k whose binary expansion (D digits in length) is the same as the initial D digits of the binary expansion of the square root of k to the right of the binary point.at n=9A165309
- a(n) = prime(n)^2-4.at n=30A166010
- Trisection A061037(3*n-2) of the Balmer spectrum numerators extended to negative indices.at n=43A174325
- Begin with a(0) = 3. Let a(n) for n > 0 be the smallest positive integer not yet in the sequence which forms part of a Pythagorean triple when paired with a(n-1).at n=50A235598
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 3", based on the 5-celled von Neumann neighborhood.at n=6A269911
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 961", based on the 5-celled von Neumann neighborhood.at n=6A273832
- Number of solutions to x^3 + y^3 + z^3 + t^3 == 0 (mod n) for 1 <= x, y, z, t <= n.at n=24A276920
- G.f. A(x) = Sum_{n>=0} a(n)*x^n satisfies: [Sum_{n>=0} x^n/(1 - x^(n+1))]^3 = Sum_{n>=0} a(n)*x^n/(1 - x^(n+1))^3.at n=34A341374
- Antidiagonal sums of A342819.at n=45A377375
- Number of distinct variances of nonempty subsets of {1, ..., n}.at n=22A382383