3,767,575

5² × 7 × 21529

3,767,575 factors as 5^2 × 7 × 21529. Its 12 positive divisors give a proper-divisor sum of 1,571,865, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 21529

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,339,440

Proper Divisor Sum 1,571,865

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3767573 ← → #3767587

Radix Representation

Decimal	3767575
Binary	1110010111110100010111 (22 bits)
Octal	0o16276427
Hexadecimal	0x397D17

Divisor Catalog (12)

1 5 7 25 35 175 21,529 107,645 150,703 538,225 753,515 3,767,575

Collatz Trajectory (110 steps to reach 1)

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

3,767,575 11,302,726 5,651,363 16,954,090 8,477,045 25,431,136 12,715,568 6,357,784 3,178,892 1,589,446 794,723 2,384,170 1,192,085 3,576,256 1,788,128 894,064 447,032 223,516 111,758 55,879 167,638 83,819 251,458 125,729 377,188 188,594 94,297 282,892 141,446 70,723 212,170 106,085 318,256 159,128 79,564 39,782 19,891 59,674 29,837 89,512 44,756 22,378 11,189 33,568 16,784 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665

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