10591
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 2369
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8448
- Möbius Function
- -1
- Radical
- 10591
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- Smith Number
- no
- 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
- Position of n^3 + 9 in A024975.at n=45A024979
- a(n) = (3*n - 1)*(4*n - 1).at n=30A033578
- Expansion of cube of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).at n=42A055102
- Least number represented as the sum of n cubes with greedy algorithm.at n=13A055402
- Starting positions of strings of three 6's in the decimal expansion of Pi.at n=8A083625
- Structured tetragonal anti-prism numbers.at n=20A100182
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+89)^2 = y^2.at n=9A129298
- 3n^3 + 2n^2 + n + 1.at n=15A130884
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, 0, 1), (1, 0, -1), (1, 1, 1)}.at n=7A150751
- Sum of all numbers from 2*n-1 up to prime(n).at n=37A161626
- Expansion of Product_{k>=1} Q(x^k)^k where Q(x) = Product_{k>=1} (1 + x^k).at n=15A192065
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w^3>=x^3+y^3.at n=28A211804
- Irregular triangle in which row n has numbers k such that prime(n) divides A001008(k), the numerator of the k-th harmonic number.at n=48A229493
- Numbers n such that phi(n) = 3*phi(n-1).at n=30A266268
- Number of separable partitions of n in which the number of distinct (repeatable) parts <= 5.at n=35A325714
- Number of strict compositions of n with all adjacent parts (x, y) satisfying x <= 2y and y <= 2x.at n=44A342342
- Smallest possible value of |Sum_{k=0..n} (+-) 2^k * 3^(n-k)|, where each (+-) can be either plus or minus sign, independently for each term in the sum.at n=20A349544
- Numbers k such that both Sum_{i=1..k} i*prime(i) and Sum_{i=1..k} (k+1-i)*prime(i) are prime.at n=19A356178
- Triangle read by rows where T(n,k) is the number of labeled acyclic digraphs on {1..n} with sinks {1..k}.at n=24A368602
- Consecutive states of the linear congruential pseudo-random number generator (2041*s + 25673) mod 121500 when started at s=1.at n=30A385362