1033
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1034
- 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
- 1032
- Möbius Function
- -1
- Radical
- 1033
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 155
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 174
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n if there are two kinds of 1's and two kinds of 2's.at n=14A000097
- 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=23A000922
- Primes with 5 as smallest primitive root.at n=26A001124
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=6A001134
- Number of partitions of n into at most 4 parts.at n=48A001400
- Numbers that are the sum of 10 positive 5th powers.at n=40A003355
- Primes of the form 2^a + 3^b.at n=32A004051
- Divisible only by primes congruent to 4 mod 7.at n=31A004622
- Numbers divisible only by primes congruent to 1 mod 8.at n=41A004625
- Primes written in base 4.at n=21A004678
- Sum of 11 positive 9th powers.at n=2A004800
- Numbers that are the sum of 10 positive 10th powers.at n=1A004810
- Numbers that are the sum of at most 11 positive 9th powers.at n=32A004895
- Numbers that are the sum of at most 12 positive 9th powers.at n=34A004896
- Numbers that are the sum of at most 10 nonzero 10th powers.at n=20A004905
- Numbers that are the sum of at most 11 nonzero 10th powers.at n=21A004906
- Numbers that are the sum of at most 12 nonzero 10th powers.at n=22A004907
- a(n) = floor(n*phi^8), where phi is the golden ratio, A001622.at n=22A004923
- Class 3- primes (for definition see A005109).at n=54A005111
- Primes of the form k^2 + k + 41.at n=31A005846