1,972,242

2 × 3³ × 36523

1,972,242 factors as 2 × 3^3 × 36523. Its 16 positive divisors give a proper-divisor sum of 2,410,638, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 36523

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,382,880

Proper Divisor Sum 2,410,638

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1972231 ← → #1972247

Radix Representation

Decimal	1972242
Binary	111100001100000010010 (21 bits)
Octal	0o7414022
Hexadecimal	0x1E1812

Divisor Catalog (16)

1 2 3 6 9 18 27 54 36,523 73,046 109,569 219,138 328,707 657,414 986,121 1,972,242

Collatz Trajectory (215 steps to reach 1)

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

1,972,242 986,121 2,958,364 1,479,182 739,591 2,218,774 1,109,387 3,328,162 1,664,081 4,992,244 2,496,122 1,248,061 3,744,184 1,872,092 936,046 468,023 1,404,070 702,035 2,106,106 1,053,053 3,159,160 1,579,580 789,790 394,895 1,184,686 592,343 1,777,030 888,515 2,665,546 1,332,773 3,998,320 1,999,160 999,580 499,790 249,895 749,686 374,843 1,124,530 562,265 1,686,796 843,398 421,699 1,265,098 632,549 1,897,648 948,824 474,412 237,206 118,603 355,810 177,905 533,716 266,858 133,429 400,288 200,144 100,072 50,036 25,018 12,509

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