1671
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2232
- Proper Divisor Sum (Aliquot Sum)
- 561
- 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
- 1112
- Möbius Function
- 1
- Radical
- 1671
- 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
- 42
- 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
- a(n) = Sum_{m=1..n} Sum_{k=1..m} prime(k).at n=14A014148
- Numbers k such that Fibonacci(k) == -2 (mod k).at n=26A023163
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence).at n=14A024600
- [ Sum{(log(j)-log(i))^2} ], 2 <= i < j <= n.at n=50A025206
- Coordination sequence T1 for Zeolite Code ITE.at n=28A027369
- [ exp(16/19)*n! ].at n=5A030862
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 13.at n=18A031511
- Essentially shifts 1 place right under inverse binomial transform.at n=7A032346
- Inverse binomial transform of A032346.at n=8A032347
- Incrementally largest terms in the continued fraction for Niven's constant.at n=9A033153
- Number of binary codes (not necessarily linear) of length n with 3 words.at n=35A034198
- Concatenation of 'nextprime(a(n)) and a(n)' and 'a(n) and nextprime(a(n))' are both prime.at n=46A034595
- Number of partitions of n into parts 4k+1 or 4k+2.at n=38A035365
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 2 (mod 5).at n=48A035582
- Number of partitions of n into parts not of the form 23k, 23k+9 or 23k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=24A035997
- Numbers k such that q^2 < p, where p=nextprime(k), q=nextprime(square root of k).at n=45A037208
- Positive numbers having the same set of digits in base 5 and base 6.at n=38A037429
- Absolute value of first differences of A038552, divided by 24.at n=27A038581
- The sequence e, given that c is a left shift by one place of b.at n=49A041003
- Numbers k such that 5 and 6 occur juxtaposed in the base-9 representation of k but not of k-1.at n=40A043210