3,736,765

5 × 53 × 59 × 239

3,736,765 factors as 5 × 53 × 59 × 239. Its 16 positive divisors give a proper-divisor sum of 928,835, so this integer is deficient. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 5 × 53 × 59 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,665,600

Proper Divisor Sum 928,835

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3736763 ← → #3736769

Radix Representation

Decimal	3736765
Binary	1110010000010010111101 (22 bits)
Octal	0o16202275
Hexadecimal	0x3904BD

Divisor Catalog (16)

1 5 53 59 239 265 295 1,195 3,127 12,667 14,101 15,635 63,335 70,505 747,353 3,736,765

Collatz Trajectory (234 steps to reach 1)

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

3,736,765 11,210,296 5,605,148 2,802,574 1,401,287 4,203,862 2,101,931 6,305,794 3,152,897 9,458,692 4,729,346 2,364,673 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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