1457
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1536
- Proper Divisor Sum (Aliquot Sum)
- 79
- 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
- 1380
- Möbius Function
- 1
- Radical
- 1457
- 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
- 34
- 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
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=8A001239
- Number of partitions of n into parts 5k+2 or 5k+3.at n=58A003106
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=31A004963
- Second pentagonal numbers: a(n) = n*(3*n + 1)/2.at n=31A005449
- a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)) for n > 1, a(1) = 2.at n=8A005469
- Numerators of approximations to e.at n=19A006258
- Number of elements in Z[ i ] whose 'smallest algorithm' is <= n.at n=7A006457
- Numerators of convergents to e.at n=9A007676
- Coordination sequence T4 for Zeolite Code AFR.at n=29A008022
- Composite but smallest prime factor >= 17.at n=52A008367
- Crystal ball sequence for planar net 3.6.3.6.at n=25A008580
- Expansion of (1 + 2*x^2 + x^3)/((1 - x)^2*(1 - x^3)).at n=46A008822
- Numbers that are the sum of 3 positive cubes in more than one way.at n=3A008917
- Coordination sequence T4 for Zeolite Code -CLO.at n=34A009853
- Numbers k such that the continued fraction for sqrt(k) has period 22.at n=30A020361
- Numbers with exactly 6 2's in their ternary expansion.at n=1A023704
- Plaindromes: numbers whose digits in base 3 are in nondecreasing order.at n=34A023745
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=2A024974
- [ Sum{(log(j)-log(i))^2} ], 2 <= i < j <= n.at n=47A025206
- Numbers that are the sum of 3 positive cubes in exactly 2 ways.at n=3A025396