1707
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2280
- Proper Divisor Sum (Aliquot Sum)
- 573
- 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
- 1136
- Möbius Function
- 1
- Radical
- 1707
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- 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
- Coefficients of expansion of Jacobi nome q in certain powers of (1/2)*(1 - sqrt(k')) / (1 + sqrt(k')).at n=4A002103
- Coordination sequence T1 for Zeolite Code -CLO.at n=37A009850
- a(n) = floor( n*(n-1)*(n-2)/23 ).at n=35A011905
- a(n) = Sum_{k=1..n} ceiling(k^4/n).at n=8A014816
- Largest value of k for which Golay-Rudin-Shapiro sequence A020986(k) = n.at n=33A020991
- Fibonacci sequence beginning 3, 10.at n=12A022122
- Numbers k such that Fibonacci(k) == 2 (mod k).at n=29A023174
- T(2n-1,n-1), T given by A026681.at n=5A026685
- T(n,[ n/2 ]), T given by A026681.at n=11A026687
- [ exp(19/22)*n! ].at n=5A030830
- Least term in period of continued fraction for sqrt(n) is 3.at n=29A031427
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 41.at n=4A031539
- a(n) = sum of the remainders when the n-th prime is divided by primes up to the (n-1)-th prime.at n=49A033955
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 4).at n=36A035540
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 4).at n=33A035541
- Conjecturally, a power of 2 written in base 3 cannot have this many 2's.at n=17A036463
- Position of start of first occurrence of prime(n) after the decimal point in expansion of Pi.at n=52A037024
- a(n)=(s(n)+5)/8, where s(n)=n-th base 8 palindrome that starts with 3.at n=39A043067
- Numbers k such that 0 and 6 occur juxtaposed in the base-9 representation of k but not of k-1.at n=41A043185
- Numbers having four 2's in base 4.at n=25A043344