6,834,016

2⁵ × 7 × 30509

6,834,016 factors as 2^5 × 7 × 30509. Its 24 positive divisors give a proper-divisor sum of 8,543,024, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 30509

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,377,040

Proper Divisor Sum 8,543,024

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6834007 ← → #6834031

Radix Representation

Decimal	6834016
Binary	11010000100011101100000 (23 bits)
Octal	0o32043540
Hexadecimal	0x684760

Divisor Catalog (24)

Collatz Trajectory (178 steps to reach 1)

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

6,834,016 3,417,008 1,708,504 854,252 427,126 213,563 640,690 320,345 961,036 480,518 240,259 720,778 360,389 1,081,168 540,584 270,292 135,146 67,573 202,720 101,360 50,680 25,340 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229

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