λ
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Atlas › Integer Profiles › Node 6,136,338

6,136,338

2 × 3 × 13 × 151 × 521
Abundant Even Composite

6,136,338 factors as 2 × 3 × 13 × 151 × 521. Its 32 positive divisors give a proper-divisor sum of 7,193,454, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 151 × 521
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,329,792
Proper Divisor Sum 7,193,454
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6136327 ← → #6136349

Radix Representation

Decimal 6136338
Binary 10111011010001000010010 (23 bits)
Octal 0o27321022
Hexadecimal 0x5DA212

Divisor Catalog (32)

1 2 3 6 13 26 39 78 151 302 453 521 906 1,042 1,563 1,963 3,126 3,926 5,889 6,773 11,778 13,546 20,319 40,638 78,671 157,342 236,013 472,026 1,022,723 2,045,446 3,068,169 6,136,338

Collatz Trajectory (108 steps to reach 1)

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

6,136,338 3,068,169 9,204,508 4,602,254 2,301,127 6,903,382 3,451,691 10,355,074 5,177,537 15,532,612 7,766,306 3,883,153 11,649,460 5,824,730 2,912,365 8,737,096 4,368,548 2,184,274 1,092,137 3,276,412 1,638,206 819,103 2,457,310 1,228,655 3,685,966 1,842,983 5,528,950 2,764,475 8,293,426 4,146,713 12,440,140 6,220,070 3,110,035 9,330,106 4,665,053 13,995,160 6,997,580 3,498,790 1,749,395 5,248,186 2,624,093 7,872,280 3,936,140 1,968,070 984,035 2,952,106 1,476,053 4,428,160 2,214,080 1,107,040 553,520 276,760 138,380 69,190 34,595 103,786 51,893 155,680 77,840 38,920

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