3,762,095

5 × 19 × 199²

3,762,095 factors as 5 × 19 × 199^2. Its 12 positive divisors give a proper-divisor sum of 1,014,025, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 5 × 19 × 199^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,776,120

Proper Divisor Sum 1,014,025

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3762091 ← → #3762097

Radix Representation

Decimal	3762095
Binary	1110010110011110101111 (22 bits)
Octal	0o16263657
Hexadecimal	0x3967AF

Divisor Catalog (12)

1 5 19 95 199 995 3,781 18,905 39,601 198,005 752,419 3,762,095

Collatz Trajectory (172 steps to reach 1)

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

3,762,095 11,286,286 5,643,143 16,929,430 8,464,715 25,394,146 12,697,073 38,091,220 19,045,610 9,522,805 28,568,416 14,284,208 7,142,104 3,571,052 1,785,526 892,763 2,678,290 1,339,145 4,017,436 2,008,718 1,004,359 3,013,078 1,506,539 4,519,618 2,259,809 6,779,428 3,389,714 1,694,857 5,084,572 2,542,286 1,271,143 3,813,430 1,906,715 5,720,146 2,860,073 8,580,220 4,290,110 2,145,055 6,435,166 3,217,583 9,652,750 4,826,375 14,479,126 7,239,563 21,718,690 10,859,345 32,578,036 16,289,018 8,144,509 24,433,528 12,216,764 6,108,382 3,054,191 9,162,574 4,581,287 13,743,862 6,871,931 20,615,794 10,307,897 30,923,692

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