6977
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6978
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 6976
- Möbius Function
- -1
- Radical
- 6977
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 31
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 897
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Atom-rooted polyenoids with n edges with symmetry class C_s.at n=9A000908
- a(0) = 1, a(n) = 31*n^2 + 2 for n>0.at n=15A010020
- sech(sec(x)*arctan(x))=1-1/2!*x^2+1/4!*x^4-145/6!*x^6+6977/8!*x^8...at n=4A012813
- Numbers k such that the continued fraction for sqrt(k) has period 45.at n=19A020384
- a(n) = number of partitions of n into an odd number of parts, the least being 2; also a(n+2) = number of partitions of n into an even number of parts, each >=2.at n=47A027188
- Primes of the form k^2 + k + 5.at n=25A027755
- Primes that are concatenations of n with n + 8.at n=8A032631
- Primes of form x^2 + 94*y^2.at n=45A033204
- a(0)=1, a(n) = M(n) + Sum_{k=1..n-1} M(k)*a(n-k-1), where M(n) are the Motzkin numbers (A001006).at n=10A045994
- Primes with multiplicative persistence value 5.at n=16A046505
- Primes p from A031924 such that A052180(primepi(p)) = 7.at n=35A052231
- Primes p such that p^6 reversed is also prime.at n=32A059699
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).at n=27A063352
- Leading diagonal of triangle in A072467.at n=15A072468
- Group the composite numbers so that the sum of each group is a prime; sequence gives sum of terms in each group.at n=40A073686
- Smallest number whose cube begins and ends in n, or 0 if no such number exists.at n=33A077752
- Primes equal to floor(Pi*x) where x is prime.at n=44A079593
- Primes appearing as the concatenation of the last two digits of prime(A086102(n)) and the first two digits of prime(A086102(n)+1).at n=19A086103
- Greatest number in the n-th successive group of natural numbers containing exactly n prime powers.at n=42A092463
- Value of C in y = x^2 + 5x + C such that y is prime for all x = 0 to 3.at n=24A097434