3100
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 6944
- Proper Divisor Sum (Aliquot Sum)
- 3844
- 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
- 1200
- Möbius Function
- 0
- Radical
- 310
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 154
- 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
- Squares written in base 5.at n=20A001740
- Squares written in base 8.at n=39A002441
- Coordination sequence T1 for Zeolite Code LTA and RHO.at n=44A008137
- Coordination sequence T3 for Zeolite Code MOR.at n=36A008184
- a(n) = floor(binomial(n,5)/5).at n=20A011851
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/30).at n=19A011940
- Values of n where (phi(n) * sigma(n))/n is an integer and increases.at n=41A015707
- Expansion of 1/((1-x)(1-3x)(1-7x)(1-9x)).at n=3A021594
- a(n) = 5^n - n^2.at n=5A024051
- a(n) = [ 2nd elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n.at n=22A025193
- Expansion of 1/((1-2x)(1-3x)(1-5x)(1-10x)).at n=3A025934
- Numbers k such that k^2 has digits in nonincreasing order.at n=30A028821
- Graham-Sloane-type lower bound on the size of a ternary (n,3,5) constant-weight code.at n=10A030505
- Increasing gaps among twin primes: size.at n=27A036063
- Schoenheim bound L_1(n,n-5,n-6).at n=13A036837
- nextprime(5^n)-nextprime(2^n).at n=5A037132
- Positive numbers having the same set of digits in base 4 and base 10.at n=26A037428
- Sum of first n primes of form 4k-1.at n=27A038347
- Coordination sequence T6 for Zeolite Code STT.at n=37A038421
- Coordination sequence T8 for Zeolite Code SFF.at n=37A038435