1704
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 2616
- 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
- 560
- Möbius Function
- 0
- Radical
- 426
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 16
- 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
- Number of partitions into non-integral powers.at n=7A000345
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=28A001276
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=47A001859
- Number of bipartite partitions.at n=10A002763
- Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).at n=39A003219
- Expansion of 1/(1 - 12*x + x^2).at n=3A004191
- Number of walks on cubic lattice starting and finishing on the xy plane and never going below it.at n=5A005572
- Coordination sequence T5 for Zeolite Code NON.at n=25A008216
- Convolution of Lucas numbers and A023533.at n=14A023623
- a(n) = Sum_{k=1..n} k*floor( prime(k)/k ).at n=32A024927
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 3, with initial terms 2,1.at n=6A025228
- a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3).at n=14A026040
- Number of partitions of n into distinct parts, the least being odd.at n=47A026832
- Golc sequence in base 6. Left to right concatenation of n,int(log_6(n)),int(log_6(int(log_6(n)))),... in base6.at n=46A028436
- Even numbers k such that in k^2 the parity of digits alternates.at n=28A030157
- Numbers whose base-12 representation has the same nonzero number of 0's and 10's.at n=40A039602
- Numbers whose base-12 representation has the same nonzero number of 0's and 11's.at n=40A039603
- Denominators of continued fraction convergents to sqrt(35).at n=7A041059
- Denominators of continued fraction convergents to sqrt(875).at n=13A042691
- Numbers k such that 0 and 4 occur juxtaposed in the base-10 representation of k but not of k-1.at n=33A043219