3177
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4602
- Proper Divisor Sum (Aliquot Sum)
- 1425
- 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
- 2112
- Möbius Function
- 0
- Radical
- 1059
- Omega Function (Ω)
- 3
- 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
- 53
- 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
- no
- Odd
- yes
Appears in sequences
- Number of "cubic partitions" of n: expansion of Product_{k>0} 1/((1-x^(2k))^2*(1-x^(2k-1))) in powers of x.at n=20A002513
- Numbers k such that k^4 can be written as a sum of four positive 4th powers.at n=15A003294
- Number of planted matched trees with n nodes.at n=7A005750
- Number of self-converse oriented trees with n nodes.at n=14A007748
- Coordination sequence T1 for Zeolite Code EUO.at n=35A008095
- Irregular triangle read by rows: T(n,k) (n >= 1, 0 <= k <= [n/2]) = number of permutations of 1..n with [n/2]-k runs of consecutive pairs up and down (divided by 2).at n=24A010030
- sec(arcsin(arcsinh(x)))=1+1/2!*x^2+5/4!*x^4+109/6!*x^6+3177/8!*x^8...at n=4A012121
- Expansion of e.g.f. exp(arctanh(arcsinh(x))).at n=8A012262
- Smallest odd k>n such that k | n^k + n, or 0 if n=2^m.at n=36A015908
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=21A020379
- a(n) = (d(n)-r(n))/2, where d = A026054 and r is the periodic sequence with fundamental period (1,0,0,0).at n=28A026055
- a(n) = T(n,n-3), where T is the array in A026148.at n=7A026154
- a(n) = T(n,n-3), where T is the array in A026386.at n=17A026394
- a(n) = (n+1)*(5*n^2+4*n+1).at n=8A027849
- Positions of records in A030707.at n=49A030712
- a(n) = ceiling((n + 7/10)^3).at n=13A034133
- Composite numbers whose prime factors contain no digits other than 3 and 5.at n=32A036315
- Denominators of continued fraction convergents to sqrt(59).at n=8A041103
- Denominators of continued fraction convergents to sqrt(236).at n=8A041441
- Denominators of continued fraction convergents to sqrt(944).at n=12A042827