14601
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20224
- Proper Divisor Sum (Aliquot Sum)
- 5623
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9360
- Möbius Function
- -1
- Radical
- 14601
- 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
- 164
- 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
- Convolution of A000203 with itself.at n=30A000385
- Number of connected vertex-transitive graphs with n nodes.at n=36A006800
- Number of necklaces of sets of beads containing a total of n beads.at n=17A008965
- a(n) = T(2n,n-1), T given by A026747.at n=6A026749
- Moebius transform of A000031 (starting at term 0).at n=18A054079
- Number of step shifted (decimated) sequence structures using exactly two different symbols.at n=18A056396
- Number of primitive (aperiodic) step shifted (decimated) sequence structures using a maximum of two different symbols.at n=18A056401
- Number of primitive (aperiodic) step shifted (decimated) sequence structures using exactly two different symbols.at n=18A056406
- Numbers k such that 80*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=14A056664
- Number of connected circulant graphs on n nodes.at n=36A075545
- a(n) = n^(n+1) - (n-1)^n.at n=4A084363
- Numbers whose square root in base 10 starts with 10 distinct digits.at n=6A113507
- Number of isomers of polyhex hydrocarbons with C_(2h) symmetry with eighteen hexagons.at n=8A120371
- Number of binary strings of length n with no substrings equal to 0001 0011 or 1011.at n=22A164458
- Monotonic ordering of nonnegative differences 5^i-2^j, for 40>=i>=0, j>=0.at n=42A192115
- Monotonic ordering of nonnegative differences 5^i-4^j, for 40>= i>=0, j>=0.at n=23A192162
- Arises in enumerating Huffman codes, compact trees, and sums of unit fractions.at n=16A194628
- Number of partitions of 5n such that cn(1,5) = cn(4,5) = cn(2,5) = cn(3,5) <= cn(0,5).at n=13A202085
- a(n) = 9*n^2 - 13*n + 5.at n=40A214675
- Odd numbers which take a record number of steps to reach {1, 9, or 33} under iteration of the map described in the comments section of A135730.at n=25A261674