3030
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7344
- Proper Divisor Sum (Aliquot Sum)
- 4314
- 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
- 800
- Möbius Function
- 1
- Radical
- 3030
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 141
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T1 for Zeolite Code AET.at n=38A008007
- Coordination sequence T3 for Zeolite Code BRE.at n=36A008060
- Coordination sequence T3 for Zeolite Code TER.at n=37A016435
- Coordination sequence T2 for Zeolite Code SAO.at n=43A019572
- Coordination sequence T4 for Zeolite Code SAO.at n=43A019574
- Doublets: base-10 representation is the juxtaposition of two identical strings.at n=29A020338
- a(n) = n*(27*n - 1)/2.at n=15A022284
- n written in fractional base 6/3.at n=30A024636
- a(n) = Sum_{k=0..n} (k+1) * A026681(n, k).at n=8A026990
- a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2.at n=26A027575
- Expansion of 1/((1-3x)(1-5x)(1-6x)(1-7x)).at n=3A028053
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 22.at n=4A031700
- Integer part of decimal 'base-2 looking' numbers divided by their actual base-2 values (denominator of a(n) is n, numerator is n written in binary but read in decimal).at n=32A032532
- Numbers that, when expressed in base 3 and then interpreted in base 10, yield a multiple of the original number.at n=25A032537
- Every run of digits of n in base 14 has length 2.at n=18A033012
- Numbers whose base-14 expansion has no run of digits with length < 2.at n=32A033027
- Numbers in which all pairs of consecutive base-10 digits differ by 3.at n=46A033081
- a(n) = floor(10^5/n).at n=32A033427
- Number of primes p between powers of 2, 2^n < p <= 2^(n+1).at n=15A036378
- Numerators of continued fraction convergents to sqrt(719).at n=8A042384