14344
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 29520
- Proper Divisor Sum (Aliquot Sum)
- 15176
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- 0
- Radical
- 3586
- 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
- 120
- 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
- a(n) = a(n-1) + rotate( a(n-1), 1 digit right), a(1) = 1.at n=10A051300
- Numbers n such that sigma(n)^2 - phi(n)^2 is a perfect square.at n=35A057654
- Numbers n such that n + sum of prime factors of n = (n+1) + sum of prime factors of (n+1).at n=17A075654
- Number of partitions of n with more odd parts than even parts.at n=36A108950
- A triangular array related to A077028 and distributing the values of A007582.at n=52A110552
- a(n) = 2 + floor((1 + Sum_{j=1..n-1} a(j))/4).at n=40A120161
- a(n) = (4^n+8*(-5)^n)/9.at n=6A166036
- Quadruples a>b>c>d>0 such that six pairwise sums and the total sum are all squares.at n=11A175535
- Costas arrays such that the corresponding permutation is connected.at n=17A213339
- Number of 3 X 3 0..n symmetric arrays with all rows summing to floor(n*3/2).at n=30A213801
- Smallest number k such that k*(2^(2*A000043(n))-1)+1 is prime.at n=23A268175
- Sum of the even parts of the partitions of n into 8 parts.at n=32A309632
- Number of crossing, capturing set partitions of {1..n}.at n=9A326246
- Eventual period of a single cell in rule 169 cellular automaton in a cyclic universe of width n.at n=21A334505
- Numbers m such that A338038(m) = A338038(A004086(m)) where A004086(i) is i read backwards and A338038(i) is the sum of the primes and exponents in the prime factorization of i ignoring 1-exponents; palindromes and multiples of 10 are excluded.at n=28A338039
- Expansion of Sum_{0<i<j<k<l} q^(2*(i+j+k+l)-4)/( (1-q^(2*i-1))*(1-q^(2*j-1))*(1-q^(2*k-1))*(1-q^(2*l-1)) )^2.at n=26A365666