1,972,467

3² × 7 × 131 × 239

1,972,467 factors as 3^2 × 7 × 131 × 239. Its 24 positive divisors give a proper-divisor sum of 1,322,253, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 131 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,294,720

Proper Divisor Sum 1,322,253

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1972441 ← → #1972471

Radix Representation

Decimal	1972467
Binary	111100001100011110011 (21 bits)
Octal	0o7414363
Hexadecimal	0x1E18F3

Divisor Catalog (24)

Collatz Trajectory (184 steps to reach 1)

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

1,972,467 5,917,402 2,958,701 8,876,104 4,438,052 2,219,026 1,109,513 3,328,540 1,664,270 832,135 2,496,406 1,248,203 3,744,610 1,872,305 5,616,916 2,808,458 1,404,229 4,212,688 2,106,344 1,053,172 526,586 263,293 789,880 394,940 197,470 98,735 296,206 148,103 444,310 222,155 666,466 333,233 999,700 499,850 249,925 749,776 374,888 187,444 93,722 46,861 140,584 70,292 35,146 17,573 52,720 26,360 13,180 6,590 3,295 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514

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