8,072,405

5 × 11 × 317 × 463

8,072,405 factors as 5 × 11 × 317 × 463. Its 16 positive divisors give a proper-divisor sum of 2,551,339, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 5 × 11 × 317 × 463

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,623,744

Proper Divisor Sum 2,551,339

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8072357 ← → #8072417

Radix Representation

Decimal	8072405
Binary	11110110010110011010101 (23 bits)
Octal	0o36626325
Hexadecimal	0x7B2CD5

Divisor Catalog (16)

1 5 11 55 317 463 1,585 2,315 3,487 5,093 17,435 25,465 146,771 733,855 1,614,481 8,072,405

Collatz Trajectory (62 steps to reach 1)

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

8,072,405 24,217,216 12,108,608 6,054,304 3,027,152 1,513,576 756,788 378,394 189,197 567,592 283,796 141,898 70,949 212,848 106,424 53,212 26,606 13,303 39,910 19,955 59,866 29,933 89,800 44,900 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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