2177
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2496
- Proper Divisor Sum (Aliquot Sum)
- 319
- 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
- 1860
- Möbius Function
- 1
- Radical
- 2177
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 138
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=37A000232
- Number of permutations of length n within distance 2 of a fixed permutation.at n=10A002524
- Numbers which are the sum of 3 nonzero 4th powers.at n=48A003337
- Number of unlabeled reduced unit interval graphs on n nodes.at n=12A005218
- Coordination sequence T6 for Zeolite Code VNI.at n=29A009912
- Numbers with exactly 6 2's in their ternary expansion.at n=9A023704
- Coordination sequence T2 for Zeolite Code IFR.at n=33A024983
- a(n) = sum of the numbers between the two n's in A026350.at n=43A026353
- a(n) = Lucas(n+4) - 2*(n+3).at n=12A027181
- a(n) = Sum_{k=0..2n} (k+1) * A026568(n, k).at n=6A027281
- Q(sqrt(n)) has class number 3.at n=46A029703
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 3 and 4 (mod 5).at n=49A035590
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(2,5) = cn(3,5) = cn(4,5).at n=67A036871
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(2,5) = cn(3,5) = cn(4,5).at n=67A036873
- Coordination sequence T3 for Zeolite Code STT.at n=31A038426
- Numerators of continued fraction convergents to sqrt(17).at n=3A041024
- Numerators of continued fraction convergents to sqrt(68).at n=3A041118
- Numerators of continued fraction convergents to sqrt(153).at n=7A041280
- Numerators of continued fraction convergents to sqrt(272).at n=3A041510
- Denominators of continued fraction convergents to sqrt(469).at n=7A041895