2,137,142

2 × 7 × 293 × 521

2,137,142 factors as 2 × 7 × 293 × 521. Its 16 positive divisors give a proper-divisor sum of 1,546,090, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2 × 7 × 293 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,683,232

Proper Divisor Sum 1,546,090

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2137141 ← → #2137151

Radix Representation

Decimal	2137142
Binary	1000001001110000110110 (22 bits)
Octal	0o10116066
Hexadecimal	0x209C36

Divisor Catalog (16)

1 2 7 14 293 521 586 1,042 2,051 3,647 4,102 7,294 152,653 305,306 1,068,571 2,137,142

Collatz Trajectory (122 steps to reach 1)

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

2,137,142 1,068,571 3,205,714 1,602,857 4,808,572 2,404,286 1,202,143 3,606,430 1,803,215 5,409,646 2,704,823 8,114,470 4,057,235 12,171,706 6,085,853 18,257,560 9,128,780 4,564,390 2,282,195 6,846,586 3,423,293 10,269,880 5,134,940 2,567,470 1,283,735 3,851,206 1,925,603 5,776,810 2,888,405 8,665,216 4,332,608 2,166,304 1,083,152 541,576 270,788 135,394 67,697 203,092 101,546 50,773 152,320 76,160 38,080 19,040 9,520 4,760 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266

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