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Atlas › Integer Profiles › Node 8,301,436

8,301,436

22 × 11 × 13 × 23 × 631
Abundant Even Composite

8,301,436 factors as 2^2 × 11 × 13 × 23 × 631. Its 48 positive divisors give a proper-divisor sum of 9,536,132, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 23 × 631
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,837,568
Proper Divisor Sum 9,536,132
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8301421 ← → #8301437

Radix Representation

Decimal 8301436
Binary 11111101010101101111100 (23 bits)
Octal 0o37525574
Hexadecimal 0x7EAB7C

Divisor Catalog (48)

1 2 4 11 13 22 23 26 44 46 52 92 143 253 286 299 506 572 598 631 1,012 1,196 1,262 2,524 3,289 6,578 6,941 8,203 13,156 13,882 14,513 16,406 27,764 29,026 32,812 58,052 90,233 159,643 180,466 188,669 319,286 360,932 377,338 638,572 754,676 2,075,359 4,150,718 8,301,436

Collatz Trajectory (80 steps to reach 1)

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

8,301,436 4,150,718 2,075,359 6,226,078 3,113,039 9,339,118 4,669,559 14,008,678 7,004,339 21,013,018 10,506,509 31,519,528 15,759,764 7,879,882 3,939,941 11,819,824 5,909,912 2,954,956 1,477,478 738,739 2,216,218 1,108,109 3,324,328 1,662,164 831,082 415,541 1,246,624 623,312 311,656 155,828 77,914 38,957 116,872 58,436 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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