Properties of the Number 10419

Ten Thousand Four Hundred Nineteen

Basics

Value: 10418 → 10419 → 10420

Parity: odd

Prime: No

Previous Prime: 10399

Next Prime: 10427

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 23 × 151

Divisors: 1, 3, 23, 69, 151, 453, 3473, 10419

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010110011

Octal: 24263

Duodecimal: 6043

Hexadecimal: 28b3

Square: 108555561

Square Root: 102.0735029280371

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

Poincaré series for invariant polynomial functions on the space of binary forms of degree 10. A293935

Numbers k such that k⁴ can be written as a sum of four positive 4th powers with no common factor. A39664

a(0)=3; a(n) = n² + a(n-1) for n>0. A153057

Number of partitions of n in which number of least parts is equal to least part. A96403

a(n) = n*(5n² + 3n + 4) / 6. A203551

Let σ*_m (n) be result of applying sum of anti-divisors m times to n; call n (m,k)-anti-perfect if σ*_m (n) = k·n; sequence gives the (3,k)-anti-perfect numbers. A229861

Smallest integer k such that 2ⁿ is the largest power of two that is contained in 2^k as a proper substring. A46300

5-digit terms in the continued fraction for π. A48960

Numbers k such that the smoothly undulating palindromic number (31·10^k - 13)/99 is a prime. A62216

Row sums of triangle A134507. A134508