15164
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 28224
- Proper Divisor Sum (Aliquot Sum)
- 13060
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7104
- Möbius Function
- 0
- Radical
- 7582
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 177
- 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
- Coordination sequence for hexagonal close-packing.at n=38A007899
- a(0) = 1, a(n) = 42*n^2 + 2 for n>0.at n=19A010023
- a(n) is the sum of squares of the first n positive integers congruent to 2 mod 3.at n=16A024394
- Numbers k such that 55*2^k+1 is prime.at n=18A032377
- Numbers k whose decimal representation, read as a base-22 value and divided by k, yields an integer.at n=22A032575
- Least number beginning with n such that every partial sum is a square.at n=14A095158
- a(n) is the number of n-tosses having a run of 3 or more heads or a run of 3 or more tails for a fair coin (i.e., probability is a(n)/2^n).at n=13A167821
- Numbers k such that A057775(k) is the factor of a Fermat number 2^(2^m) + 1 for some m.at n=47A201364
- Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n+2.at n=41A210374
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 331", based on the 5-celled von Neumann neighborhood.at n=28A271279
- Regular triangle read by rows: T(n,k) is the k-th ionization energy of the n-th chemical element (in kJ/mol), rounded to the nearest integer.at n=41A322834
- Number of compositions of n where the difference between largest and smallest parts equals ten.at n=13A323127
- Number of polygons formed when every pair of vertices of a row of n adjacent congruent rectangles are joined by an infinite line.at n=14A344993
- a(n) is the maximal absolute value of the determinant of an n X n symmetric Toeplitz matrix having 0 on the main diagonal and all the first n-1 primes off-diagonal.at n=5A374388
- Number of integer partitions of n whose maximal anti-runs do not all have different maxima.at n=36A375401
- Triangle read by rows: T(n,k) is the number of free polyominoes with n cells whose difference between length and width is k, n >= 1, k >= 0.at n=68A379625