1459
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1460
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1458
- Möbius Function
- -1
- Radical
- 1459
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 34
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 232
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coefficients of ménage hit polynomials.at n=7A000426
- Primes p of the form 3k+1 such that -sqrt(p) < sum_{x=1..p} cos(2*Pi*x^3/p) < sqrt(p).at n=34A000922
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=18A001133
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=9A001239
- Primes of the form 2^q*3^r*5^s + 1.at n=37A002200
- Numbers that are the sum of 3 nonzero 6th powers.at n=7A003359
- Numbers that are the sum of at most 3 nonzero 6th powers.at n=17A004854
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=26A004855
- Numbers that are the sum of at most 5 nonzero 6th powers.at n=37A004856
- Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.at n=20A005109
- Primes p such that 2p-1 is also prime.at n=43A005382
- Primes of form x^3 + y^3 + z^3 where x,y,z > 0.at n=36A007490
- Positions where A007600 increases.at n=20A007601
- Smallest odd number expressible in at least n ways as p+2*m^2 where p is 1 or a prime and m >= 0.at n=19A007697
- Primes that divide at least one term of Sylvester's sequence s = A000058: s(n+1) = s(n)^2 - s(n) + 1, s(0) = 2.at n=12A007996
- Coordination sequence T1 for Zeolite Code ACO, ASV, EDI, and THO.at n=27A008084
- Coordination sequence T2 for Zeolite Code GOO.at n=26A008112
- Coordination sequence T2 for Zeolite Code THO.at n=27A008239
- Numbers that are the sum of 3 positive cubes in more than one way.at n=4A008917
- From table of maximal epacts e(p) and corresponding primes p, for x_1=2, x_{m+1} = (x_m)^2+1; sequence gives p.at n=16A014424