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8,136,136

23 × 31 × 53 × 619
Deficient Even Composite

8,136,136 factors as 2^3 × 31 × 53 × 619. Its 32 positive divisors give a proper-divisor sum of 7,934,264, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 53 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,070,400
Proper Divisor Sum 7,934,264
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8136133 ← → #8136137

Radix Representation

Decimal 8136136
Binary 11111000010010111001000 (23 bits)
Octal 0o37022710
Hexadecimal 0x7C25C8

Divisor Catalog (32)

1 2 4 8 31 53 62 106 124 212 248 424 619 1,238 1,643 2,476 3,286 4,952 6,572 13,144 19,189 32,807 38,378 65,614 76,756 131,228 153,512 262,456 1,017,017 2,034,034 4,068,068 8,136,136

Collatz Trajectory (85 steps to reach 1)

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

8,136,136 4,068,068 2,034,034 1,017,017 3,051,052 1,525,526 762,763 2,288,290 1,144,145 3,432,436 1,716,218 858,109 2,574,328 1,287,164 643,582 321,791 965,374 482,687 1,448,062 724,031 2,172,094 1,086,047 3,258,142 1,629,071 4,887,214 2,443,607 7,330,822 3,665,411 10,996,234 5,498,117 16,494,352 8,247,176 4,123,588 2,061,794 1,030,897 3,092,692 1,546,346 773,173 2,319,520 1,159,760 579,880 289,940 144,970 72,485 217,456 108,728 54,364 27,182 13,591 40,774 20,387 61,162 30,581 91,744 45,872 22,936 11,468 5,734 2,867 8,602

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