7670
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 7450
- 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
- 2784
- Möbius Function
- 1
- Radical
- 7670
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 132
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BOG = Boggsite Na4Ca7[Al18Si78O192].74H2O starting with a T2 atom.at n=12A019082
- Number of days in n years (n=4 is the first leap year).at n=20A033171
- Number of days in n years (n=3 is the first leap year).at n=20A033172
- Number of days in n years (n=2 is the first leap year).at n=20A033173
- Number of binary [ n,3 ] codes without 0 columns.at n=26A034344
- Numerators of continued fraction convergents to sqrt(201).at n=7A041372
- Numbers n such that n and its reversal are both multiples of 13.at n=35A062903
- Non-palindromic number and its reversal are both multiples of 13.at n=21A062912
- Numbers k such that k^4 contains a pandigital substring.at n=19A115934
- Eigensequence of triangle A078812: a(n) = Sum_{k=0..n-1} A078812(n-1,k)*a(k) for n > 0 with a(0)=1.at n=7A125274
- Eigentriangle by rows, termwise products of A078812 and its eigensequence, A125274.at n=35A144254
- 13 times pentagonal numbers: a(n) = 13*n*(3*n-1)/2.at n=20A153793
- Number of nX4 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=8A164756
- Number of ways to partition a 2*n X 3 grid into 6 connected equal-area regions.at n=4A167245
- T(n,m) = Number of ways to partition an nXm grid into 6 connected equal-area regions.at n=68A167262
- T(n,m) = Number of ways to partition an nXm grid into 6 connected equal-area regions.at n=75A167262
- Records of minima of A154333, difference of a cube minus the next smaller square.at n=12A179386
- a(n) = 3*a(n-1) - 2*a(n-2) with a(0)=20 and a(1)=50.at n=8A182462
- Number of disconnected 2-regular simple graphs on n vertices with girth at least 5.at n=64A185225
- Riordan array (((1+x)/(1-x-x^2))^m, x*A000108(x)), m=2.at n=46A185676