3,123,190

2 × 5 × 7 × 44617

3,123,190 factors as 2 × 5 × 7 × 44617. Its 16 positive divisors give a proper-divisor sum of 3,301,802, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 44617

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,424,992

Proper Divisor Sum 3,301,802

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3123187 ← → #3123203

Radix Representation

Decimal	3123190
Binary	1011111010011111110110 (22 bits)
Octal	0o13723766
Hexadecimal	0x2FA7F6

Divisor Catalog (16)

1 2 5 7 10 14 35 70 44,617 89,234 223,085 312,319 446,170 624,638 1,561,595 3,123,190

Collatz Trajectory (76 steps to reach 1)

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

3,123,190 1,561,595 4,684,786 2,342,393 7,027,180 3,513,590 1,756,795 5,270,386 2,635,193 7,905,580 3,952,790 1,976,395 5,929,186 2,964,593 8,893,780 4,446,890 2,223,445 6,670,336 3,335,168 1,667,584 833,792 416,896 208,448 104,224 52,112 26,056 13,028 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92

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