8,013,532

2² × 41 × 131 × 373

8,013,532 factors as 2^2 × 41 × 131 × 373. Its 24 positive divisors give a proper-divisor sum of 6,500,660, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 131 × 373

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,514,192

Proper Divisor Sum 6,500,660

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8013521 ← → #8013539

Radix Representation

Decimal	8013532
Binary	11110100100011011011100 (23 bits)
Octal	0o36443334
Hexadecimal	0x7A46DC

Divisor Catalog (24)

1 2 4 41 82 131 164 262 373 524 746 1,492 5,371 10,742 15,293 21,484 30,586 48,863 61,172 97,726 195,452 2,003,383 4,006,766 8,013,532

Collatz Trajectory (168 steps to reach 1)

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

8,013,532 4,006,766 2,003,383 6,010,150 3,005,075 9,015,226 4,507,613 13,522,840 6,761,420 3,380,710 1,690,355 5,071,066 2,535,533 7,606,600 3,803,300 1,901,650 950,825 2,852,476 1,426,238 713,119 2,139,358 1,069,679 3,209,038 1,604,519 4,813,558 2,406,779 7,220,338 3,610,169 10,830,508 5,415,254 2,707,627 8,122,882 4,061,441 12,184,324 6,092,162 3,046,081 9,138,244 4,569,122 2,284,561 6,853,684 3,426,842 1,713,421 5,140,264 2,570,132 1,285,066 642,533 1,927,600 963,800 481,900 240,950 120,475 361,426 180,713 542,140 271,070 135,535 406,606 203,303 609,910 304,955

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