12177
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 7983
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7200
- Möbius Function
- 0
- Radical
- 1353
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 63
- 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) = (d(n)-r(n))/2, where d = A026049 and r is the periodic sequence with fundamental period (1,0,0,1).at n=37A026050
- a(n) = T(n,n-4), array T as in A055807.at n=37A055809
- Triangular array related to Motzkin triangle A026300.at n=49A084536
- Triangle read by rows: T(n,k) = number of lattice paths from (0,0) to (n,k) that do not go below the line y=0 and consist of steps U=(1,1), D=(1,-1) and three types of steps H=(1,0) (left factors of 3-Motzkin steps).at n=50A091965
- Let n = a_1a_2...a_k, where the a_i are digits. a(n) = least multiple of n of the type b_1a_1b_2a_2...a_kb_{k+1}, obtained by inserting single digits b_i in the gaps and both ends; 0 if no such number exists.at n=26A110735
- Integer part of Gauss's Arithmetic-Geometric Mean M(1,n^5).at n=9A127761
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+287)^2 = y^2.at n=21A205644
- Number of nX4 arrays of occupancy after each element moves to some horizontal or vertical neighbor, without 2-loops or left turns.at n=4A221765
- Number of nX5 arrays of occupancy after each element moves to some horizontal or vertical neighbor, without 2-loops or left turns.at n=3A221766
- T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, without 2-loops or left turns.at n=31A221768
- T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, without 2-loops or left turns.at n=32A221768
- Values of k such that k^2 + (k+3)^2 is a square.at n=5A241976
- 25-gonal numbers: a(n) = n*(23*n-21)/2.at n=33A255184
- Product of n and the sum of remainders of n mod k, for k = 1, 2, 3, ..., n.at n=40A256532
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) - 1, where a(0) = 1, a(1) = 2, b(0) = 3, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=16A295963
- Number of partitions of n into prime power parts (including 1) not greater than sqrt(n).at n=55A369218