3407
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3408
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3406
- Möbius Function
- -1
- Radical
- 3407
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 61
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 479
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that (5^k - 1)/4 is prime.at n=10A004061
- Pisot sequence E(9,19), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].at n=8A014005
- Expansion of 1/((1-2*x)*(1-5*x)*(1-12*x)).at n=3A016302
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=37A023246
- Primes that remain prime through 2 iterations of function f(x) = 9x + 8.at n=44A023267
- a(n) = (d(n)-r(n))/2, where d = A026046 and r is the periodic sequence with fundamental period (0,1,0,1).at n=23A026047
- 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 57.at n=17A031555
- Upper prime of a difference of 16 between consecutive primes.at n=9A031935
- Number of different products of partitions of n; number of partitions of n into prime parts (1 included); number of distinct orders of Abelian subgroups of symmetric group S_n.at n=42A034891
- Denominators of continued fraction convergents to sqrt(470).at n=7A041897
- Numbers k such that the string 0,7 occurs in the base 10 representation of k but not of k-1.at n=36A044339
- Numbers n such that string 0,7 occurs in the base 10 representation of n but not of n+1.at n=36A044720
- Numbers having, in base 15, (sum of even run lengths)=(sum of odd run lengths).at n=15A044886
- Numbers whose base-5 representation contains exactly three 1's and two 2's.at n=13A045231
- Primes expressible in two ways as the sum of an integer and its digit sum.at n=43A048528
- Primes p from A031924 such that A052180(primepi(p)) = 7.at n=19A052231
- Expansion of (1-x)/(1 - x - x^3 - 2*x^4 + 2*x^5).at n=21A052914
- Primes arising in A053782.at n=14A053872
- Goodstein sequence starting with 4: to calculate a(n+1), write a(n) in the hereditary representation in base n+2, then bump the base to n+3, then subtract 1.at n=46A056193
- McKay-Thompson series of class 30d for Monster.at n=27A058625