3,127,337

17 × 71 × 2591

3,127,337 factors as 17 × 71 × 2591. Its 8 positive divisors give a proper-divisor sum of 231,895, so this integer is deficient. The Collatz stopping time is 301 steps.

Prime Factor Structure

Factorization String 17 × 71 × 2591

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,359,232

Proper Divisor Sum 231,895

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3127301 ← → #3127339

Radix Representation

Decimal	3127337
Binary	1011111011100000101001 (22 bits)
Octal	0o13734051
Hexadecimal	0x2FB829

Divisor Catalog (8)

1 17 71 1,207 2,591 44,047 183,961 3,127,337

Collatz Trajectory (301 steps to reach 1)

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

3,127,337 9,382,012 4,691,006 2,345,503 7,036,510 3,518,255 10,554,766 5,277,383 15,832,150 7,916,075 23,748,226 11,874,113 35,622,340 17,811,170 8,905,585 26,716,756 13,358,378 6,679,189 20,037,568 10,018,784 5,009,392 2,504,696 1,252,348 626,174 313,087 939,262 469,631 1,408,894 704,447 2,113,342 1,056,671 3,170,014 1,585,007 4,755,022 2,377,511 7,132,534 3,566,267 10,698,802 5,349,401 16,048,204 8,024,102 4,012,051 12,036,154 6,018,077 18,054,232 9,027,116 4,513,558 2,256,779 6,770,338 3,385,169 10,155,508 5,077,754 2,538,877 7,616,632 3,808,316 1,904,158 952,079 2,856,238 1,428,119 4,284,358

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