3633
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5568
- Proper Divisor Sum (Aliquot Sum)
- 1935
- 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
- 2064
- Möbius Function
- -1
- Radical
- 3633
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 69
- 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
- no
- Odd
- yes
Appears in sequences
- E.g.f. exp(tan(x) + sec(x) - 1).at n=7A000772
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/32 ).at n=20A011942
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a lucky number.at n=17A032701
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/10) starts with n.at n=27A034075
- Concatenations C1 and C2 are both prime (see the comment lines).at n=42A034816
- a(n)=(s(n)+1)/8, where s(n)=n-th base 8 palindrome that starts with 7.at n=24A043071
- Numbers having three 3's in base 10.at n=26A043503
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n-1.at n=36A044365
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n+1.at n=36A044746
- Squarefree nonprimes with property that the concatenation of the prime factors is a palindrome.at n=33A046448
- Numbers that are the product of 3 prime factors whose concatenation is a palindrome.at n=14A046452
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 2.at n=14A049923
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 24.at n=21A051989
- a(n) = Sum_{d|n} d*tau(d)^2.at n=39A068984
- a(n) is the number of values of k such that k can be expressed as the sum of distinct primes with largest prime in the sum equal to prime(n).at n=43A082548
- Arithmetic means of rows of A083173.at n=39A083176
- Square root of coefficients of power series: A083352(x)^2 + A083352(x) - 1; term-by-term square root of A083353.at n=64A083354
- a(n) = (Sum_{k=1..n} A073698(k))^(1/n).at n=27A093928
- Position of n-th n after the decimal point in Pi.at n=45A101196
- a(n)=a(n-1)+sum of digits(a(n-1))*sum of digits(a(n-2)).at n=21A108720