1777
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1778
- 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
- 1776
- Möbius Function
- -1
- Radical
- 1777
- 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
- 117
- 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
- 275
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of 4-colored labeled graphs on n nodes, divided by 4.at n=3A000686
- Primes with 5 as smallest primitive root.at n=37A001124
- Smallest primitive factor of 2^(2n+1) + 1.at n=18A002185
- Smallest number containing n syllables in UK English.at n=12A002810
- G.f.: (1 + x^4 + x^7 + 2*x^8 + x^9 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).at n=23A003405
- Number of trees by stability index.at n=16A003427
- a(0) = 587, a(n) = 3*a(n-1) + 16 for n > 0 (the first 11 terms are primes).at n=1A003539
- Odd numbers not of form p + 2^k (de Polignac numbers).at n=37A006285
- Primes with both 10 and -10 as primitive root.at n=51A007349
- Smallest prime > n^2.at n=41A007491
- Primes p == 1 (mod 8), p = a^2 + 64*b^2 such that y^2 = x^3 + p*x has rank 2.at n=23A007766
- Coordination sequence T6 for Zeolite Code BOG.at n=30A008054
- Coordination sequence T2 for Zeolite Code DOH.at n=26A008079
- Crystal ball sequence for planar net 4.8.8.at n=36A008577
- If a, b are in the sequence, so is ab+3.at n=42A009302
- Coordination sequence T2 for Zeolite Code DFO.at n=32A009876
- Coordination sequence T6 for Zeolite Code DFO.at n=32A009880
- Primes of the form x^2 + 27y^2.at n=40A014752
- Primes p == 1 mod 8 such that 2 and -2 are both 4th powers (one implies other) mod p.at n=30A014754
- a(n) = (1 + 24^n*(23*n - 1))/529.at n=2A014942