14772
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
- 12
- Divisor Sum
- 34496
- Proper Divisor Sum (Aliquot Sum)
- 19724
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4920
- Möbius Function
- 0
- Radical
- 7386
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 71
- 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
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 80.at n=36A031578
- Numbers whose set of base-9 digits is {2,3}.at n=33A032809
- Numbers whose base-11 representation has exactly 5 runs.at n=9A043648
- Number of triangular partitions of n.at n=29A089647
- Expansion of (1-x-x^2-3*x^3) / ((1+x)^2*(1-3*x)).at n=10A092897
- "Early bird" squares: write the square numbers in a string 149162536496481100... . Sequence gives numbers k such that k^2 occurs in the string ahead of its natural place.at n=35A181585
- Number of (n+1)X(n+1) -4..4 symmetric matrices with every 2X2 subblock having sum zero and two or three distinct values.at n=8A211493
- Number of partitions of n which have nonconstant reversal sums, as defined in Comments.at n=34A236170
- Solution of the complementary equation a(n) = 2*a(n-1) - a(n-2) + b(n-1) + 1, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=40A294869
- a(n) = 324*n^2 - 804*n + 468 (n>=2).at n=6A304619
- One-half of the number of lines through at least 2 points of an n X n grid of points.at n=19A331780
- Number of unoriented series-parallel networks with n elements and without multiple unit elements in parallel.at n=11A339296
- Numbers that are the sum of seven fourth powers in five or more ways.at n=32A345571
- Numbers that are the sum of seven fourth powers in exactly five ways.at n=31A345827
- Number of polyforms with n cells on the faces of a pentagonal icositetrahedron up to rotation.at n=10A383808