3777
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 1263
- 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
- 2516
- Möbius Function
- 1
- Radical
- 3777
- 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
- 131
- 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
- Pentanacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) with a(0) = a(1) = a(2) = a(3) = a(4) = 1.at n=15A000322
- Numbers k such that k*4^k + 1 is prime.at n=9A007646
- Coordination sequence T2 for Zeolite Code AFS.at n=47A008024
- Coordination sequence T2 for Zeolite Code BPH.at n=47A008056
- Coordination sequence T2 for Zeolite Code -CHI.at n=39A009847
- Coordination sequence T1 for Zeolite Code ZON.at n=43A009919
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=29A020383
- 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 40.at n=21A031538
- Expansion of Sum_{i>=0} q^i*theta_3^i.at n=12A032803
- Denominators of continued fraction convergents to sqrt(947).at n=10A042833
- Numbers having three 7's in base 10.at n=3A043519
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1, 2 and 4 (mod 5).at n=65A046784
- Sizes of successive clusters in Z^4 lattice.at n=27A046895
- Positions of 4-digit terms in the continued fraction for Pi (3 is at position 0).at n=1A048959
- Integer part of (Product(n^((1 + log(1 + i))/i^2), {i, 1, n})).at n=14A062486
- Nearest integer to (Product(n^((1 + log(1 + i))/i^2), {i, 1, n})).at n=14A062487
- Zero, together with positive numbers k such that prime(k) - k is a square.at n=21A064370
- Numbers n such that phi(phi(n)) = phi(sigma(n)) where phi is Euler's totient and sigma is the multiplicative sum-of-divisors function.at n=36A065555
- Smallest m such that number of distinct partitions of m exceeds 10^n.at n=45A072245
- a(1) = 2; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=36A074338