λ
Sigma Notebook

6,829,578

2 × 32 × 7 × 67 × 809
Abundant Even Composite

6,829,578 is even and not a perfect square. Its factorization is 2 × 3^2 × 7 × 67 × 809 and its 48 divisors sum to 17,184,960.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 67 × 809
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,184,960
Proper Divisor Sum 10,355,382
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6829567 ← → #6829583

Radix Representation

Decimal 6829578
Binary 11010000011011000001010 (23 bits)
Octal 0o32033012
Hexadecimal 0x68360A

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 809 938 1,206 1,407 1,618 2,427 2,814 4,221 4,854 5,663 7,281 8,442 11,326 14,562 16,989 33,978 50,967 54,203 101,934 108,406 162,609 325,218 379,421 487,827 758,842 975,654 1,138,263 2,276,526 3,414,789 6,829,578

Collatz Trajectory (129 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,829,578 3,414,789 10,244,368 5,122,184 2,561,092 1,280,546 640,273 1,920,820 960,410 480,205 1,440,616 720,308 360,154 180,077 540,232 270,116 135,058 67,529 202,588 101,294 50,647 151,942 75,971 227,914 113,957 341,872 170,936 85,468 42,734 21,367 64,102 32,051 96,154 48,077 144,232 72,116 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222

More profiles

← Previous Integer #6,829,577 Browse Full Index Next Integer #6,829,579 →