4097
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4356
- Proper Divisor Sum (Aliquot Sum)
- 259
- 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
- 3840
- Möbius Function
- 1
- Radical
- 4097
- 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
- 113
- 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 Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=51A000009
- a(n) = 2^n + 1.at n=12A000051
- a(n) = (n-1)*2^n + 1.at n=9A000337
- a(n) = n^3 + 1.at n=17A001093
- a(n) = n^4 + 1.at n=8A002523
- a(n) = n^6 + 1.at n=4A002604
- Numbers that are the sum of 2 positive 4th powers.at n=27A003336
- Numbers that are the sum of 2 nonzero 6th powers.at n=6A003358
- Numbers that are the sum of 9 positive 9th powers.at n=8A003398
- Divisors of 2^24 - 1.at n=48A003532
- Number of atoms in a decahedron with n shells.at n=17A004068
- Numbers that are the sum of 5 positive 10th powers.at n=4A004805
- Numbers that are the sum of 3 positive 11th powers.at n=2A004814
- Numbers that are the sum of at most 2 nonzero 4th powers.at n=36A004831
- Numbers that are the sum of at most 2 nonzero 6th powers.at n=11A004853
- Numbers that are the sum of at most 3 nonzero 6th powers.at n=21A004854
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=36A004855
- Numbers that are the sum of at most 5 nonzero 10th powers.at n=19A004900
- Numbers that are the sum of at most 6 nonzero 10th powers.at n=23A004901
- Numbers that are the sum of at most 7 nonzero 10th powers.at n=27A004902