7952
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 17856
- Proper Divisor Sum (Aliquot Sum)
- 9904
- 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
- 3360
- Möbius Function
- 0
- Radical
- 994
- 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
- 26
- 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
- Number of paraffins.at n=31A005998
- Expansion of cosh(tanh(x)*tan(x)).at n=2A009173
- Expansion of e.g.f. exp(tanh(x)*tan(x)), even powers only.at n=4A009272
- exp(arctan(x)*tan(x))=1+2/2!*x^2+12/4!*x^4+280/6!*x^6+7952/8!*x^8...at n=4A012444
- sec(sinh(x)*sin(x)) = 1+12/4!*x^4+7952/8!*x^8+36180672/12!*x^12...at n=2A012531
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFI = AlPO4-5 [ Al12P12O48 ] . R . q H2O.at n=5A018955
- Expansion of 1/((1-2*x)*(1-6*x)*(1-8*x)*(1-12*x)).at n=3A026738
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x8^2 = n.at n=34A045850
- a(n) = T(2n-1,n), array T given by A048201.at n=44A048208
- T(n,6), array T as in A050186; a count of aperiodic binary words.at n=10A050191
- T(2n+4,n), array T as in A050186; a count of aperiodic binary words.at n=6A051197
- a(n) = |{m : multiplicative order of 6 mod m=n}|.at n=35A059888
- Integer part of square root of n-th Fibonacci number.at n=39A061287
- Consider sequence of fractions A066657/A066658 produced by ratios of terms in A066720; let m = smallest integer such that all fractions 1/n, 2/n, ..., (n-1)/n have appeared when we reach A066720(m) = k; sequence gives values of m; set a(n) = -1 if some fraction i/n never appears.at n=12A066849
- Expansion of 1/(1-2*x+2*x^2+x^3).at n=17A077944
- Molien series for complete weight enumerators of self-dual codes over Z/8Z containing the all-ones vector.at n=5A092545
- Largest number not the sum of n distinct nonzero squares.at n=22A129210
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 1, 0), (0, 0, -1), (1, 0, 0)}.at n=11A148015
- Number of trisubstituted linear alkanes of composition C_n H_(2n-1) XYZ.at n=12A159941
- Monotonic ordering of nonnegative differences 10^i-2^j, for 40>= i>=0, j>=0.at n=24A192125