1,542,282

2 × 3 × 7 × 36721

1,542,282 factors as 2 × 3 × 7 × 36721. Its 16 positive divisors give a proper-divisor sum of 1,983,030, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 36721

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,525,312

Proper Divisor Sum 1,983,030

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1542259 ← → #1542283

Radix Representation

Decimal	1542282
Binary	101111000100010001010 (21 bits)
Octal	0o5704212
Hexadecimal	0x17888A

Divisor Catalog (16)

1 2 3 6 7 14 21 42 36,721 73,442 110,163 220,326 257,047 514,094 771,141 1,542,282

Collatz Trajectory (101 steps to reach 1)

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

1,542,282 771,141 2,313,424 1,156,712 578,356 289,178 144,589 433,768 216,884 108,442 54,221 162,664 81,332 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636

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