λ
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8,300,904

23 × 3 × 157 × 2203
Abundant Even Composite

8,300,904 factors as 2^3 × 3 × 157 × 2203. Its 32 positive divisors give a proper-divisor sum of 12,593,016, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 157 × 2203
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,893,920
Proper Divisor Sum 12,593,016
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8300899 ← → #8300909

Radix Representation

Decimal 8300904
Binary 11111101010100101101000 (23 bits)
Octal 0o37524550
Hexadecimal 0x7EA968

Divisor Catalog (32)

1 2 3 4 6 8 12 24 157 314 471 628 942 1,256 1,884 2,203 3,768 4,406 6,609 8,812 13,218 17,624 26,436 52,872 345,871 691,742 1,037,613 1,383,484 2,075,226 2,766,968 4,150,452 8,300,904

Collatz Trajectory (80 steps to reach 1)

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

8,300,904 4,150,452 2,075,226 1,037,613 3,112,840 1,556,420 778,210 389,105 1,167,316 583,658 291,829 875,488 437,744 218,872 109,436 54,718 27,359 82,078 41,039 123,118 61,559 184,678 92,339 277,018 138,509 415,528 207,764 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245

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