1029
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1600
- Proper Divisor Sum (Aliquot Sum)
- 571
- 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
- 588
- Möbius Function
- 0
- Radical
- 21
- Omega Function (Ω)
- 4
- 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
- 124
- 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
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Boustrophedon transform (first version) of Fibonacci numbers 0,1,1,2,3,5,...at n=7A000687
- Moser-de Bruijn sequence: sums of distinct powers of 4.at n=35A000695
- A self-generating sequence: a(1)=1, a(2)=2, a(n+1) chosen so that a(n+1)-a(n-1) is the first number not obtainable as a(j)-a(i) for 1<=i<j<=n.at n=36A001149
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^7 in powers of x.at n=17A001485
- Numbers that are the sum of 6 positive 5th powers.at n=24A003351
- Numbers that are the sum of 9 nonzero 8th powers.at n=4A003387
- Numbers that are the sum of 7 positive 9th powers.at n=2A003396
- Numbers of the form 3^i*7^j with i, j >= 0.at n=16A003594
- Degrees of irreducible representations of Held group He.at n=7A003912
- Degrees of irreducible representations of Held group He.at n=6A003912
- Numbers that are the sum of 6 positive 10th powers.at n=1A004806
- Numbers that are the sum of at most 9 nonzero 8th powers.at n=39A004882
- Numbers that are the sum of at most 10 nonzero 8th powers.at n=43A004883
- Numbers that are the sum of at most 7 positive 9th powers.at n=20A004891
- Numbers that are the sum of at most 8 positive 9th powers.at n=22A004892
- Numbers that are the sum of at most 9 positive 9th powers.at n=24A004893
- Numbers that are the sum of at most 10 positive 9th powers.at n=26A004894
- Numbers that are the sum of at most 11 positive 9th powers.at n=28A004895
- Numbers that are the sum of at most 12 positive 9th powers.at n=30A004896
- Numbers that are the sum of at most 6 nonzero 10th powers.at n=12A004901