3,672,775

5² × 107 × 1373

3,672,775 factors as 5^2 × 107 × 1373. Its 12 positive divisors give a proper-divisor sum of 927,377, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 5^2 × 107 × 1373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,600,152

Proper Divisor Sum 927,377

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3672769 ← → #3672791

Radix Representation

Decimal	3672775
Binary	1110000000101011000111 (22 bits)
Octal	0o16005307
Hexadecimal	0x380AC7

Divisor Catalog (12)

1 5 25 107 535 1,373 2,675 6,865 34,325 146,911 734,555 3,672,775

Collatz Trajectory (172 steps to reach 1)

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

3,672,775 11,018,326 5,509,163 16,527,490 8,263,745 24,791,236 12,395,618 6,197,809 18,593,428 9,296,714 4,648,357 13,945,072 6,972,536 3,486,268 1,743,134 871,567 2,614,702 1,307,351 3,922,054 1,961,027 5,883,082 2,941,541 8,824,624 4,412,312 2,206,156 1,103,078 551,539 1,654,618 827,309 2,481,928 1,240,964 620,482 310,241 930,724 465,362 232,681 698,044 349,022 174,511 523,534 261,767 785,302 392,651 1,177,954 588,977 1,766,932 883,466 441,733 1,325,200 662,600 331,300 165,650 82,825 248,476 124,238 62,119 186,358 93,179 279,538 139,769

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