1027
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1120
- Proper Divisor Sum (Aliquot Sum)
- 93
- 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
- 936
- Möbius Function
- 1
- Radical
- 1027
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=38A000969
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=52A001318
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=47A001682
- Related to Zarankiewicz's problem.at n=43A001841
- Hex (or centered hexagonal) numbers: 3*n*(n+1)+1 (crystal ball sequence for hexagonal lattice).at n=18A003215
- Numbers that are the sum of 2 positive cubes.at n=44A003325
- Numbers that are the sum of 4 positive 5th powers.at n=15A003349
- Numbers that are the sum of 11 positive 7th powers.at n=8A003378
- Numbers that are the sum of 7 nonzero 8th powers.at n=4A003385
- Numbers that are the sum of 5 positive 9th powers.at n=2A003394
- Numbers that are the sum of 4 nonzero 10th powers.at n=1A004804
- Numbers that are the sum of at most 4 positive 5th powers.at n=38A004844
- Numbers that are the sum of at most 7 nonzero 8th powers.at n=29A004880
- Numbers that are the sum of at most 8 nonzero 8th powers.at n=33A004881
- Numbers that are the sum of at most 9 nonzero 8th powers.at n=37A004882
- Numbers that are the sum of at most 10 nonzero 8th powers.at n=41A004883
- Numbers that are the sum of at most 11 nonzero 8th powers.at n=45A004884
- Numbers that are the sum of at most 5 positive 9th powers.at n=14A004889
- Numbers that are the sum of at most 6 positive 9th powers.at n=16A004890
- Numbers that are the sum of at most 7 positive 9th powers.at n=18A004891