80,905,877

13² × 31 × 15443

80,905,877 factors as 13^2 × 31 × 15443. Its 12 positive divisors give a proper-divisor sum of 9,534,187, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 13^2 × 31 × 15443

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 90,440,064

Proper Divisor Sum 9,534,187

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #80905871 ← → #80905879

Radix Representation

Decimal	80905877
Binary	100110100101000011010010101 (27 bits)
Octal	0o464503225
Hexadecimal	0x4D28695

Divisor Catalog (12)

1 13 31 169 403 5,239 15,443 200,759 478,733 2,609,867 6,223,529 80,905,877

Collatz Trajectory (148 steps to reach 1)

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

80,905,877 242,717,632 121,358,816 60,679,408 30,339,704 15,169,852 7,584,926 3,792,463 11,377,390 5,688,695 17,066,086 8,533,043 25,599,130 12,799,565 38,398,696 19,199,348 9,599,674 4,799,837 14,399,512 7,199,756 3,599,878 1,799,939 5,399,818 2,699,909 8,099,728 4,049,864 2,024,932 1,012,466 506,233 1,518,700 759,350 379,675 1,139,026 569,513 1,708,540 854,270 427,135 1,281,406 640,703 1,922,110 961,055 2,883,166 1,441,583 4,324,750 2,162,375 6,487,126 3,243,563 9,730,690 4,865,345 14,596,036 7,298,018 3,649,009 10,947,028 5,473,514 2,736,757 8,210,272 4,105,136 2,052,568 1,026,284 513,142

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