2,588,193

3⁵ × 10651

2,588,193 factors as 3^5 × 10651. Its 12 positive divisors give a proper-divisor sum of 1,289,135, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 3^5 × 10651

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,877,328

Proper Divisor Sum 1,289,135

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2588177 ← → #2588203

Radix Representation

Decimal	2588193
Binary	1001110111111000100001 (22 bits)
Octal	0o11677041
Hexadecimal	0x277E21

Divisor Catalog (12)

1 3 9 27 81 243 10,651 31,953 95,859 287,577 862,731 2,588,193

Collatz Trajectory (99 steps to reach 1)

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

2,588,193 7,764,580 3,882,290 1,941,145 5,823,436 2,911,718 1,455,859 4,367,578 2,183,789 6,551,368 3,275,684 1,637,842 818,921 2,456,764 1,228,382 614,191 1,842,574 921,287 2,763,862 1,381,931 4,145,794 2,072,897 6,218,692 3,109,346 1,554,673 4,664,020 2,332,010 1,166,005 3,498,016 1,749,008 874,504 437,252 218,626 109,313 327,940 163,970 81,985 245,956 122,978 61,489 184,468 92,234 46,117 138,352 69,176 34,588 17,294 8,647 25,942 12,971 38,914 19,457 58,372 29,186 14,593 43,780 21,890 10,945 32,836 16,418

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