1087
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1088
- 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
- 1086
- Möbius Function
- -1
- Radical
- 1087
- 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
- 137
- 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
- 181
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=45A000921
- Primes with 3 as smallest primitive root.at n=44A001123
- a(n) = least value of m for which Liouville's function A002819(m) = -n.at n=31A002053
- a(n) = smallest number with shortest addition chain of length n.at n=14A003064
- Odd numbers not of form p + 2^k (de Polignac numbers).at n=19A006285
- Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.at n=22A006378
- Prime-indexed primes: primes with prime subscripts.at n=41A006450
- Primes of the form 8n+7, that is, primes congruent to -1 mod 8.at n=46A007522
- Prime triples: p; p+2 or p+4; p+6 all prime.at n=30A007529
- Primes of the form 2*k^2 + 29.at n=23A007641
- Coordination sequence T2 for Zeolite Code EMT.at n=27A008087
- Coordination sequence T1 for Zeolite Code LOV.at n=22A008134
- Coordination sequence T1 for Zeolite Code MEI.at n=24A008146
- Number of partitions of n into parts >= 3.at n=37A008483
- a(n) = n^2 - 2.at n=32A008865
- If a, b are in the sequence, so is ab+3.at n=29A009302
- exp(arctan(x)+sin(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-63/5!*x^5...at n=7A012973
- sinh(arctan(x)+sin(x))=2*x+5/3!*x^3-63/5!*x^5+1087/7!*x^7...at n=3A012978
- Numbers n such that phi(n + 9) | sigma(n) for n not congruent to 0 (mod 3).at n=24A015849
- Numbers k such that sigma(k) + 4 = sigma(k+4).at n=42A015913