1458
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 3279
- Proper Divisor Sum (Aliquot Sum)
- 1821
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 486
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=28A000423
- a(n) = max{(n - i)*a(i) : i < n}; a(0) = 1.at n=20A000792
- Numbers k such that k / (sum of digits of k) is a square.at n=44A001102
- a(n) = 2*n^2.at n=27A001105
- Smallest number such that n-th iterate of Chowla function is 0.at n=17A002954
- Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).at n=35A003219
- Numbers which are the sum of 3 nonzero 4th powers.at n=38A003337
- Numbers that are the sum of 6 positive 5th powers.at n=38A003351
- Numbers that are the sum of 2 nonzero 6th powers.at n=5A003358
- Hadamard maximal determinant problem: largest determinant of a (real) {0,1}-matrix of order n.at n=11A003432
- 3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0.at n=43A003586
- Numbers k such that 4!*(2k-5)!/(k!*(k-1)!) is an integer.at n=11A004784
- 5!(2n-6)!/n!(n-1)! is an integer.at n=14A004785
- Numbers that are the sum of at most 2 nonzero 6th powers.at n=9A004853
- Numbers that are the sum of at most 3 nonzero 6th powers.at n=16A004854
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=25A004855
- Numbers that are the sum of at most 5 nonzero 6th powers.at n=36A004856
- Number of partitions of 3n into powers of 3.at n=52A005704
- Let F(x) = 1 + x + 4x^2 + 9x^3 + ... = g.f. for A002835 (solid partitions restricted to two planes) and expand (1-x)*(1-x^2)*(1-x^3)*...*F(x) in powers of x.at n=12A005980
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=16A005996