1283
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1284
- 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
- 1282
- Möbius Function
- -1
- Radical
- 1283
- 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
- 52
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 208
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=42A000057
- Number of inequivalent Costas arrays of order n under dihedral group.at n=18A001441
- Numbers that are the sum of 8 nonzero 8th powers.at n=5A003386
- Numbers that are the sum of at most 8 nonzero 8th powers.at n=38A004881
- Numbers that are the sum of at most 9 nonzero 8th powers.at n=43A004882
- a(1)=3, b(n) = Product_{k=1..n} a(k), a(n+1) is the smallest prime factor of b(n)-1.at n=37A005265
- Safe primes p: (p-1)/2 is also prime.at n=27A005385
- Numbers k such that k-6, k, and k+6 are primes.at n=33A006489
- Oscillates under partition transform.at n=32A007210
- Number of elements (a b, c d) in GL(2,Z) with |det| = 1, trace <= n and 0 <= a <= {b, c} <= d.at n=54A007295
- Number of strict 3rd-order maximal independent sets in path graph.at n=33A007384
- Primes of form 3*k^2 - 3*k + 23.at n=20A007637
- Coordination sequence T4 for Zeolite Code LTN.at n=25A008143
- Coordination sequence T2 for Zeolite Code MEL.at n=23A008151
- a(n) is prime and sum of all primes <= a(n) is prime.at n=26A013917
- Numbers k such that sigma(k) + 8 = sigma(k+8).at n=47A015915
- Primes with primitive root 8.at n=47A019338
- From George Gilbert's marks problem: jumping 4 marks at a time (initial positions).at n=12A019595
- Numbers k such that the continued fraction for sqrt(k) has period 26.at n=29A020365
- Define the sequence T(a(0),a(1)) by a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n) for n >= 0. This is T(4,17).at n=4A022031