3,127,028

2² × 73 × 10709

3,127,028 factors as 2^2 × 73 × 10709. Its 12 positive divisors give a proper-divisor sum of 2,420,752, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^2 × 73 × 10709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,547,780

Proper Divisor Sum 2,420,752

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3127021 ← → #3127037

Radix Representation

Decimal	3127028
Binary	1011111011011011110100 (22 bits)
Octal	0o13733364
Hexadecimal	0x2FB6F4

Divisor Catalog (12)

1 2 4 73 146 292 10,709 21,418 42,836 781,757 1,563,514 3,127,028

Collatz Trajectory (208 steps to reach 1)

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

3,127,028 1,563,514 781,757 2,345,272 1,172,636 586,318 293,159 879,478 439,739 1,319,218 659,609 1,978,828 989,414 494,707 1,484,122 742,061 2,226,184 1,113,092 556,546 278,273 834,820 417,410 208,705 626,116 313,058 156,529 469,588 234,794 117,397 352,192 176,096 88,048 44,024 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838

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