17,100,725

5² × 17 × 40237

17,100,725 factors as 5^2 × 17 × 40237. Its 12 positive divisors give a proper-divisor sum of 5,352,079, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 5^2 × 17 × 40237

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 22,452,804

Proper Divisor Sum 5,352,079

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #17100719 ← → #17100757

Radix Representation

Decimal	17100725
Binary	1000001001110111110110101 (25 bits)
Octal	0o101167665
Hexadecimal	0x104EFB5

Divisor Catalog (12)

1 5 17 25 85 425 40,237 201,185 684,029 1,005,925 3,420,145 17,100,725

Collatz Trajectory (125 steps to reach 1)

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

17,100,725 51,302,176 25,651,088 12,825,544 6,412,772 3,206,386 1,603,193 4,809,580 2,404,790 1,202,395 3,607,186 1,803,593 5,410,780 2,705,390 1,352,695 4,058,086 2,029,043 6,087,130 3,043,565 9,130,696 4,565,348 2,282,674 1,141,337 3,424,012 1,712,006 856,003 2,568,010 1,284,005 3,852,016 1,926,008 963,004 481,502 240,751 722,254 361,127 1,083,382 541,691 1,625,074 812,537 2,437,612 1,218,806 609,403 1,828,210 914,105 2,742,316 1,371,158 685,579 2,056,738 1,028,369 3,085,108 1,542,554 771,277 2,313,832 1,156,916 578,458 289,229 867,688 433,844 216,922 108,461

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