14457
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19840
- Proper Divisor Sum (Aliquot Sum)
- 5383
- 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
- 14457
- 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
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/21).at n=25A011931
- 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=24A031578
- Determinant of an n X n matrix whose diagonal are the first n composite numbers and all other elements are 1's.at n=4A067545
- a(1) = 1, a(n) = n+a(n-1) if n does not divide a(n-1), else a(n) = n*a(n-1).at n=33A095234
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 0100-1100-0111-0010 pattern in any orientation.at n=10A147046
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 0100-1100-0111-0010 pattern in any orientation.at n=22A147048
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 0100-1100-0111-0010 pattern in any orientation.at n=23A147048
- G.f.: A(x) = exp( Sum_{n>=1} sigma(n)*x^n/(1+x^n) /n ).at n=48A158441
- Number of superdiagonal partitions: partitions (p1, p2, p3, ...) of n such that pi >= i.at n=49A238873
- Numbers k such that 5*10^k - 81 is prime.at n=20A281512
- Take the first n digits on the binary Champernowne string (cf. A030302); a(n) gives the starting index of the second occurrence of this n-digit string within the binary Champernowne string.at n=16A351753
- Row sums of irregular triangle A381587.at n=21A381358
- Number of integer compositions of n whose first differences are not all distinct.at n=15A389743