17,176,341

3 × 7 × 13 × 17 × 3701

17,176,341 factors as 3 × 7 × 13 × 17 × 3701. Its 32 positive divisors give a proper-divisor sum of 12,676,587, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 17 × 3701

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 29,852,928

Proper Divisor Sum 12,676,587

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #17176309 ← → #17176351

Radix Representation

Decimal	17176341
Binary	1000001100001011100010101 (25 bits)
Octal	0o101413425
Hexadecimal	0x1061715

Divisor Catalog (32)

1 3 7 13 17 21 39 51 91 119 221 273 357 663 1,547 3,701 4,641 11,103 25,907 48,113 62,917 77,721 144,339 188,751 336,791 440,419 817,921 1,010,373 1,321,257 2,453,763 5,725,447 17,176,341

Collatz Trajectory (169 steps to reach 1)

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

17,176,341 51,529,024 25,764,512 12,882,256 6,441,128 3,220,564 1,610,282 805,141 2,415,424 1,207,712 603,856 301,928 150,964 75,482 37,741 113,224 56,612 28,306 14,153 42,460 21,230 10,615 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506

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