17,513,187

3 × 29 × 47 × 4283

17,513,187 factors as 3 × 29 × 47 × 4283. Its 16 positive divisors give a proper-divisor sum of 7,162,653, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 3 × 29 × 47 × 4283

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 24,675,840

Proper Divisor Sum 7,162,653

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #17513183 ← → #17513207

Radix Representation

Decimal	17513187
Binary	1000010110011101011100011 (25 bits)
Octal	0o102635343
Hexadecimal	0x10B3AE3

Divisor Catalog (16)

1 3 29 47 87 141 1,363 4,089 4,283 12,849 124,207 201,301 372,621 603,903 5,837,729 17,513,187

Collatz Trajectory (213 steps to reach 1)

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

17,513,187 52,539,562 26,269,781 78,809,344 39,404,672 19,702,336 9,851,168 4,925,584 2,462,792 1,231,396 615,698 307,849 923,548 461,774 230,887 692,662 346,331 1,038,994 519,497 1,558,492 779,246 389,623 1,168,870 584,435 1,753,306 876,653 2,629,960 1,314,980 657,490 328,745 986,236 493,118 246,559 739,678 369,839 1,109,518 554,759 1,664,278 832,139 2,496,418 1,248,209 3,744,628 1,872,314 936,157 2,808,472 1,404,236 702,118 351,059 1,053,178 526,589 1,579,768 789,884 394,942 197,471 592,414 296,207 888,622 444,311 1,332,934 666,467

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