1776
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 4712
- Proper Divisor Sum (Aliquot Sum)
- 2936
- 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
- 222
- Omega Function (Ω)
- 6
- 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
- 73
- Smith Number
- yes
- 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
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=48A001082
- 2n-step polygons on b.c.c. lattice.at n=1A001667
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=48A001859
- Related to representation as sums of squares.at n=17A002292
- a(1) = 1; for n>1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=51A003508
- Coordination sequence for hexagonal close-packing.at n=13A007899
- Coordination sequence T1 for Zeolite Code BOG.at n=30A008049
- Coordination sequence T2 for Zeolite Code BOG.at n=30A008050
- Coordination sequence T2 for Zeolite Code MEL.at n=27A008151
- Coordination sequence T1 for Zeolite Code TON.at n=26A008241
- Coordination sequence T3 for Zeolite Code TON.at n=26A008243
- Coordination sequence T1 for Milarite.at n=26A008256
- Coordination sequence for tridymite, lonsdaleite, and wurtzite.at n=26A008264
- Number of points on surface of 4-dimensional cube.at n=6A008511
- Expansion of e.g.f. tan(sin(x)*cosh(x)), odd powers only.at n=3A009671
- Coordination sequence for alpha-Nd, Position Nd1.at n=13A009948
- Coordination sequence for FeS2-Marcasite, Fe position.at n=22A009955
- Number of B-trees of order 3 with n leaves.at n=23A014535
- Multiplicity of K_3 in K_n.at n=37A014557
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15).at n=40A017855