1752
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
- 16
- Divisor Sum
- 4440
- Proper Divisor Sum (Aliquot Sum)
- 2688
- 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
- 576
- Möbius Function
- 0
- Radical
- 438
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- Prime numbers of measurement.at n=39A002049
- Number of bipartite partitions of n white objects and 6 black ones.at n=7A002755
- Number of bipartite partitions of n white objects and 7 black ones.at n=6A002756
- Number of protruded partitions of n with largest part at most 5.at n=11A005406
- Numerators of worst case for Engel expansion.at n=25A006539
- Triangular numbers plus quarter squares: n*(n+1)/2 + floor(n^2/4) (i.e., A000217(n) + A002620(n)).at n=48A006578
- Unique period lengths of primes mentioned in A007615.at n=38A007498
- Coordination sequence T1 for Zeolite Code LIO.at n=29A008129
- Coordination sequence for {A_5}* lattice.at n=5A008533
- Theta series of direct sum of 4 copies of hexagonal lattice.at n=4A008655
- Theta series of direct sum of 2 copies of f.c.c. lattice.at n=9A008663
- Expansion of exp(tanh(x)*cos(x)).at n=7A009267
- If a, b in sequence, so is ab+8.at n=13A009331
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=10A014569
- Number of (undirected) Hamiltonian paths in n-Moebius ladder.at n=12A020875
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A000201 (lower Wythoff sequence).at n=14A024474
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (composite numbers).at n=21A024860
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^3.at n=24A028627
- Theta series of 8-dimensional strongly 6-modular lattice O(6) with minimal norm 3.at n=16A029720
- Graham-Sloane-type lower bound on the size of a ternary (n,3,3) constant-weight code.at n=50A030503