3,736,766

2 × 11 × 29 × 5857

3,736,766 factors as 2 × 11 × 29 × 5857. Its 16 positive divisors give a proper-divisor sum of 2,589,874, so this integer is deficient. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2 × 11 × 29 × 5857

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,326,640

Proper Divisor Sum 2,589,874

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3736763 ← → #3736769

Radix Representation

Decimal	3736766
Binary	1110010000010010111110 (22 bits)
Octal	0o16202276
Hexadecimal	0x3904BE

Divisor Catalog (16)

1 2 11 22 29 58 319 638 5,857 11,714 64,427 128,854 169,853 339,706 1,868,383 3,736,766

Collatz Trajectory (234 steps to reach 1)

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

3,736,766 1,868,383 5,605,150 2,802,575 8,407,726 4,203,863 12,611,590 6,305,795 18,917,386 9,458,693 28,376,080 14,188,040 7,094,020 3,547,010 1,773,505 5,320,516 2,660,258 1,330,129 3,990,388 1,995,194 997,597 2,992,792 1,496,396 748,198 374,099 1,122,298 561,149 1,683,448 841,724 420,862 210,431 631,294 315,647 946,942 473,471 1,420,414 710,207 2,130,622 1,065,311 3,195,934 1,597,967 4,793,902 2,396,951 7,190,854 3,595,427 10,786,282 5,393,141 16,179,424 8,089,712 4,044,856 2,022,428 1,011,214 505,607 1,516,822 758,411 2,275,234 1,137,617 3,412,852 1,706,426 853,213

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