92,037

3 × 11 × 2789

92,037 factors as 3 × 11 × 2789. Its 8 positive divisors give a proper-divisor sum of 41,883, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 3 × 11 × 2789

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 133,920

Proper Divisor Sum 41,883

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #92033 ← → #92041

Radix Representation

Decimal	92037
Binary	10110011110000101 (17 bits)
Octal	0o263605
Hexadecimal	0x16785

Divisor Catalog (8)

1 3 11 33 2,789 8,367 30,679 92,037

Collatz Trajectory (177 steps to reach 1)

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

92,037 276,112 138,056 69,028 34,514 17,257 51,772 25,886 12,943 38,830 19,415 58,246 29,123 87,370 43,685 131,056 65,528 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161 2,391,484 1,195,742 597,871 1,793,614 896,807 2,690,422 1,345,211 4,035,634 2,017,817 6,053,452 3,026,726 1,513,363 4,540,090

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