3,756,501

3² × 7 × 59627

3,756,501 factors as 3^2 × 7 × 59627. Its 12 positive divisors give a proper-divisor sum of 2,444,811, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 59627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,201,312

Proper Divisor Sum 2,444,811

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3756491 ← → #3756503

Radix Representation

Decimal	3756501
Binary	1110010101000111010101 (22 bits)
Octal	0o16250725
Hexadecimal	0x3951D5

Divisor Catalog (12)

1 3 7 9 21 63 59,627 178,881 417,389 536,643 1,252,167 3,756,501

Collatz Trajectory (185 steps to reach 1)

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

3,756,501 11,269,504 5,634,752 2,817,376 1,408,688 704,344 352,172 176,086 88,043 264,130 132,065 396,196 198,098 99,049 297,148 148,574 74,287 222,862 111,431 334,294 167,147 501,442 250,721 752,164 376,082 188,041 564,124 282,062 141,031 423,094 211,547 634,642 317,321 951,964 475,982 237,991 713,974 356,987 1,070,962 535,481 1,606,444 803,222 401,611 1,204,834 602,417 1,807,252 903,626 451,813 1,355,440 677,720 338,860 169,430 84,715 254,146 127,073 381,220 190,610 95,305 285,916 142,958

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