14129
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 271
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13860
- Möbius Function
- 1
- Radical
- 14129
- 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
- yes
- 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
- exp(arcsin(arcsin(x)))=1+x+1/2!*x^2+3/3!*x^3+9/4!*x^4+49/5!*x^5...at n=8A012063
- cosh(arcsin(arcsin(x)))=1+1/2!*x^2+9/4!*x^4+249/6!*x^6+14129/8!*x^8...at n=4A012072
- Powers of cube root of 6 rounded down.at n=16A017991
- a(n) = A077503(n) - n*10^d, where d = n-A055642(n), A055642(n) = number of digits in n.at n=9A087095
- Binary representation of a(n) equals first n+1 terms of A051023.at n=13A092539
- Parameters n for which the elliptic curve y^2=x^3+n has rank 4.at n=17A179124
- Total number of parts that are not the smallest part in all partitions of n.at n=27A182984
- Number of partitions of n such that (number parts having multiplicity 1) is not a part and (number of parts > 1) is a part.at n=48A241512
- Semiprimes whose prime factors differ from each other in one bit position only.at n=46A261077
- First differences of A261091: a(n) = A261091(n+1) - A261091(n).at n=27A261090
- Difference between smallest integer square >= 10^(2*n+1) and 10^(2*n+1).at n=4A267032
- Numbers whose sum of divisors is equal to the product of the number of divisors of their k first powers, for some k.at n=35A283758
- Square array T(n, k) read by rising antidiagonals. Row n has the ordinary generating function (-(n*x^3-(n+1)*x^2+x) + sqrt((n*x^3-(n+1)*x^2+x)^2 - 4*(x^3-x^2)*((n+1)*x^2-x)))/(2*(x^3-x^2)).at n=73A377441