4100
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 9114
- Proper Divisor Sum (Aliquot Sum)
- 5014
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1600
- Möbius Function
- 0
- Radical
- 410
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 38
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 2 squares in exactly 3 ways.at n=43A000443
- Squares written in base 6.at n=30A001741
- Numbers that are the sum of 5 positive 6th powers.at n=21A003361
- Sum of 12 positive 9th powers.at n=8A004801
- Numbers that are the sum of 8 positive 10th powers.at n=4A004808
- Numbers that are the sum of 6 positive 11th powers.at n=2A004817
- Numbers that are the sum of at most 8 nonzero 10th powers.at n=34A004903
- Numbers that are the sum of at most 9 nonzero 10th powers.at n=38A004904
- Numbers that are the sum of at most 10 nonzero 10th powers.at n=42A004905
- Numbers that are the sum of at most 6 positive 11th powers.at n=17A004912
- Numbers that are the sum of at most 7 positive 11th powers.at n=19A004913
- Numbers that are the sum of at most 8 positive 11th powers.at n=21A004914
- Numbers that are the sum of at most 9 positive 11th powers.at n=23A004915
- Numbers that are the sum of at most 10 positive 11th powers.at n=25A004916
- Numbers that are the sum of at most 11 positive 11th powers.at n=27A004917
- Numbers that are the sum of at most 12 positive 11th powers.at n=29A004918
- Coordination sequence T1 for Zeolite Code BRE.at n=42A008058
- Coordination sequence T2 for Zeolite Code MTW.at n=42A008197
- Coordination sequence T3 for Zeolite Code -PAR.at n=45A009857
- Expansion of 1/((1-5x)(1-8x)(1-9x)).at n=3A020343