Properties of the Number 19974

Nineteen Thousand Nine Hundred Seventy-Four

Basics

Value: 19973 → 19974 → 19975

Parity: even

Prime: No

Previous Prime: 19973

Next Prime: 19979

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 3329

Divisors: 1, 2, 3, 6, 3329, 6658, 9987, 19974

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111000000110

Octal: 47006

Duodecimal: B686

Hexadecimal: 4e06

Square: 398960676

Square Root: 141.32940246105903

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

Least integer m > 0 with π(m·n) = σ(m), where σ(m) is the sum of all positive divisors of m. A247603

G.f.: A(x) = exp( ∑_n>=1 2ⁿ * xⁿ/(n*(1+xⁿ)) ). A165941

Sum of the largest parts of the partitions of n into 4 parts. A308760

E.g.f. satisfies A(x) = 1/(1 + A(x) * log(1 - x·A(x)))². A377492

Number of 7's in the last section of the set of partitions of n. A206557

Sum of the largest parts of the partitions of 4n into 4 parts. A239667

Number of binary strings of length n with equal numbers of 00000 and 01010 substrings. A164185

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 110", based on the 5-celled von Neumann neighborhood. A270170

n! times the volume of the polytope x_i >= 0 for 1 <= i <= n and x_i + x_i+1 + x_i+2 <= 1 for 1 <= i <= n-2. A96402

Difference between number of semiprimes <= 10ⁿ and the asymptotic approximation round(10ⁿ*loglog(10ⁿ)/log(10ⁿ)). A115854