Properties of the Number 1558

One Thousand Five Hundred Fifty-Eight

Basics

Value: 1557 → 1558 → 1559

Parity: even

Prime: No

Previous Prime: 1553

Next Prime: 1559

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 19 × 41

Divisors: 1, 2, 19, 38, 41, 82, 779, 1558

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010110

Octal: 3026

Duodecimal: A9A

Hexadecimal: 616

Square: 2427364

Square Root: 39.4715087119811

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

11-gonal (or hendecagonal) numbers: a(n) = n*(9·n-7)/2. A51682

a(n) = n*(n+3). A28552

Generalized 11-gonal (or hendecagonal) numbers: m*(9·m - 7)/2 with m = 0, 1, -1, 2, -2, 3, -3, ... A195160

Number of partitions of n having no more odd than even parts. A171966

Numbers k such that k⁶⁴ + 1 is prime. A6316

Cardinality of set of sets of parts of all partitions of n. A88314

a(n) = σ(n) * A003961(n), where A003961 shifts the prime factorization of n one step towards larger primes, and σ is the sum of the divisors of n. A341529

a(n) = number of integer strings s(0),...,s(n) counted by array T in A026374 that have s(n)=1; also a(n) = T(2n-1,n-1). A26378

Binomial matrix applied to A111418. A126791

Number of strict integer partitions of n whose length (number of parts) is not equal to the sum of any subset. A367215