7866
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 18720
- Proper Divisor Sum (Aliquot Sum)
- 10854
- 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
- 2376
- Möbius Function
- 0
- Radical
- 2622
- Omega Function (Ω)
- 5
- 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
- 145
- 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) = floor(binomial(n,4)/4).at n=31A011850
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 4).at n=46A035546
- Numbers whose base-4 representation contains exactly four 2's and two 3's.at n=27A045155
- a(n) = 3*(n - 2)*(5*n -11).at n=23A060785
- Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,3.at n=35A064238
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,15.at n=24A064244
- a(n) = A077708(n+1)/A077708(n).at n=9A077709
- Least area/6 of primitive Pythagorean triangles with even leg 4n.at n=45A096898
- 33-gonal numbers: n(31n-29)/2.at n=23A098923
- Numerator of sum of reciprocals of first n 5-simplex numbers A000389.at n=26A118431
- Coefficients of denominator polynomials T(n,x) associated with reciprocation.at n=39A147986
- Coefficients of denominator polynomials Q(n,x) associated with reciprocation.at n=39A147988
- Coefficients of denominator polynomials Q(n,x) associated with reciprocation.at n=53A147988
- Coefficients of factor polynomials U(n,x) associated with reciprocation.at n=43A147989
- 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), (0, 0, -1), (0, 0, 1), (0, 1, 1), (1, 1, -1)}.at n=7A150679
- Integers k such that (k^3)/3 is the average of a pair of twin primes.at n=44A152788
- Sum of all primes from n-th prime to (2*n-1)-th prime.at n=33A161463
- a(n) = (2*n^3 + 5*n^2 + 11*n)/2.at n=18A162263
- Multiples of 19 whose reversal + 1 is also a multiple of 19.at n=25A166392
- Number of nX2 1..3 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order.at n=12A166776