Properties of the Number 3576

Three Thousand Five Hundred Seventy-Six

Basics

Value: 3575 → 3576 → 3577

Parity: even

Prime: No

Previous Prime: 3571

Next Prime: 3581

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 149

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 149, 298

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111111000

Octal: 6770

Duodecimal: 20A0

Hexadecimal: df8

Square: 12787776

Square Root: 59.799665550904216

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

a(n) = (3·n² - n - 2)/2. A115067

Number of integer partitions of n with an alternating permutation covering an initial interval of positive integers. A345163

Number of overcompositions of n. A236002

Compound filter (prime signature & sum of the divisors): a(n) = P(A046523(n), A000203(n)), where P(n,k) is sequence A000027 used as a pairing function. A286360

Number T(n,k) of sets of nonempty words with a total of n letters over k-ary alphabet containing the k-th letter such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A293113

a(n) = (11·n² - 11·n + 2)/2. A69125

Partial sum of centered tetrahedral numbers A005894. A132366

a(n) = A031287(n) + A031288(n) + A031289(n) + A031290(n) + A031291(n) + A031292(n) + A031293(n) + A031294(n) + A031295(n) + A031296(n). A193428

Positive integers k such that k²⁰ + 1 is semiprime (A001358). A105282

Fundamental discriminants of real quadratic number fields with class number 6. A218156