Properties of the Number 1035

One Thousand Thirty-Five

Basics

Value: 1034 → 1035 → 1036

Parity: odd

Prime: No

Previous Prime: 1033

Next Prime: 1039

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 23

Divisors: 1, 3, 5, 9, 15, 23, 45, 69, 115, 207

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000001011

Octal: 2013

Duodecimal: 723

Hexadecimal: 40b

Square: 1071225

Square Root: 32.17141588429082

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

Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217

Hexagonal numbers: a(n) = n*(2·n-1). A384

a(n) = binomial(n,2): number of size-2 subsets of {0,1,...,n} that contain no consecutive integers. A161680

Centered tetrahedral numbers. A5894

Doubly triangular numbers: a(n) = n*(n+1)*(n²+n+2)/8. A2817

Number of integer partitions of n with an alternating permutation. A345170

Numbers that are the sum of 12 positive 5th powers. A3357

Numbers that are the sum of 12 positive 10th powers. A4812

Number of integer partitions of n with more than one mode. A362607

Number of strict integer partitions of n with no adjacent parts having quotient > 2. A342095