λ
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Atlas › Integer Profiles › Node 37,056,136

37,056,136

23 × 13 × 587 × 607
Abundant Even Composite

37,056,136 factors as 2^3 × 13 × 587 × 607. Its 32 positive divisors give a proper-divisor sum of 38,019,704, so this integer is abundant. The Collatz stopping time is 51 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 587 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 75,075,840
Proper Divisor Sum 38,019,704
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #37056127 ← → #37056139

Radix Representation

Decimal 37056136
Binary 10001101010110111010001000 (26 bits)
Octal 0o215267210
Hexadecimal 0x2356E88

Divisor Catalog (32)

1 2 4 8 13 26 52 104 587 607 1,174 1,214 2,348 2,428 4,696 4,856 7,631 7,891 15,262 15,782 30,524 31,564 61,048 63,128 356,309 712,618 1,425,236 2,850,472 4,632,017 9,264,034 18,528,068 37,056,136

Collatz Trajectory (51 steps to reach 1)

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

37,056,136 18,528,068 9,264,034 4,632,017 13,896,052 6,948,026 3,474,013 10,422,040 5,211,020 2,605,510 1,302,755 3,908,266 1,954,133 5,862,400 2,931,200 1,465,600 732,800 366,400 183,200 91,600 45,800 22,900 11,450 5,725 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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