Properties of the Number 10988

Ten Thousand Nine Hundred Eighty-Eight

Basics

Value: 10987 → 10988 → 10989

Parity: even

Prime: No

Previous Prime: 10987

Next Prime: 10993

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 41 × 67

Divisors: 1, 2, 4, 41, 67, 82, 134, 164, 268, 2747

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011101100

Octal: 25354

Duodecimal: 6438

Hexadecimal: 2aec

Square: 120736144

Square Root: 104.82366145102927

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers k such that 3^k + 2 is prime. A51783

Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n. A114169

Number of integer partitions of n whose minima of maximal anti-runs are not all different. A375404

For any number n take the polynomial formed by the product of the terms (x-π), where π's are the prime factors of n. Then calculate the area between the minimum and the maximum value of the prime factors. This sequence lists the numbers for which the area is equal to zero. A203614

Index sequence to A089840: positions of bijections that preserve A127302 (the non-oriented form of binary trees) and whose behavior does not depend on whether there are internal or terminal nodes (leaves) in the neighborhood of any vertex. A153830

a(n) = C(2n-1,n-1) mod n³. A99907

a(n) = binomial(2·c-1, c-1) (mod c³), where c is the n-th composite. A244214

Consider all integer triples (i,j,k), j >= k>0, with i³=binomial(j+2,3)+binomial(k+2,3), ordered by increasing i; sequence gives k values. A54210

a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^1/11 starts with n. A34076

Numbers k such that the sum of the k-th triangular number and (k+2)-nd triangular number is a triangular number. A76049