14201
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15504
- Proper Divisor Sum (Aliquot Sum)
- 1303
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12900
- Möbius Function
- 1
- Radical
- 14201
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 102
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Expansion of Product_{k>=0} 1/(1 - x^(k+1))^A001156(k).at n=26A045842
- Sum of a(n) terms of 1/k^(7/8) first exceeds n.at n=19A056184
- a(n) Sum_{d|n, 1<=d<n} d*A000084(d).at n=17A058352
- Total number of square parts in all partitions of n.at n=27A073336
- Smallest partial quotients of an infinite simple continued fraction such that the fractional remainders sum to unity.at n=4A081086
- Number of partitions of n such that the least part occurs exactly four times.at n=47A097092
- Positions of records in A110566.at n=20A112809
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1100-0100-0111 pattern in any orientation.at n=10A146440
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 1100-0100-0111 pattern in any orientation.at n=22A146442
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 1100-0100-0111 pattern in any orientation.at n=23A146442
- Nonprime numbers with all divisors starting and ending with digit 1.at n=20A208261
- Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal or vertical neighbor, and containing the value n(n+1)/2-3.at n=5A211906
- T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal or vertical neighbor, and containing the value n(n+1)/2-k-1.at n=26A211910
- Fundamental discriminants of real quadratic number fields with class number 7.at n=37A218157
- Numbers n such that 11 is not a divisor of A002805(11*n).at n=20A248979
- Numbers n such that n^1024 + (n+1)^1024 is prime.at n=23A274234
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 918", based on the 5-celled von Neumann neighborhood.at n=27A290673
- Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1s.at n=4A297502
- T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1s.at n=32A297506
- Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1s.at n=3A297510