7168
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 22
- Divisor Sum
- 16376
- Proper Divisor Sum (Aliquot Sum)
- 9208
- 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
- 3072
- Möbius Function
- 0
- Radical
- 14
- Omega Function (Ω)
- 11
- Little Omega Function (ω)
- 2
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
- 26
- 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
- a(n) = 7*4^n.at n=5A002042
- Coefficients for numerical differentiation.at n=3A002553
- Discriminants of totally real quartic fields (see comments).at n=22A002769
- a(n) = a(n-1) + a(n-5); a(0) = ... = a(4) = 1.at n=34A003520
- Numbers of form 2^i*7^j, with i, j >= 0.at n=38A003591
- Numbers that are the sum of 7 positive 10th powers.at n=7A004807
- Numbers that are the sum of at most 7 nonzero 10th powers.at n=35A004902
- a(n) = 7*2^n.at n=10A005009
- Theta series of laminated lattice LAMBDA_9.at n=7A005933
- Number of paraffins.at n=13A006009
- Theta series of A_7 lattice.at n=7A008447
- Triangle of coefficients in expansion of (2 + 7*x)^n.at n=37A013623
- Expansion of 1/(1 -x^5 -x^6 -x^7 - ...).at n=39A017899
- Discriminants of totally real quartic fields.at n=29A023680
- a(n) = Sum_{i=1..floor((n+2)/4)} a(2i-1)*a(n-2i+1), with a(1)=2 and a(2)=a(3)=1.at n=13A024957
- Numbers that are the sum of 4 nonzero squares in exactly 3 ways.at n=51A025359
- Numbers of form 4^i*7^j, with i, j >= 0.at n=20A025619
- Sequence satisfies T(a)=a, where T is defined below.at n=51A027592
- Numbers of the form 2^k or 7*2^k.at n=23A029746
- Numbers of the form 2^k times 1, 3 or 7.at n=35A029748