17,513,335

5 × 7² × 71483

17,513,335 factors as 5 × 7^2 × 71483. Its 12 positive divisors give a proper-divisor sum of 6,934,193, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 71483

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 24,447,528

Proper Divisor Sum 6,934,193

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #17513333 ← → #17513351

Radix Representation

Decimal	17513335
Binary	1000010110011101101110111 (25 bits)
Octal	0o102635567
Hexadecimal	0x10B3B77

Divisor Catalog (12)

1 5 7 35 49 245 71,483 357,415 500,381 2,501,905 3,502,667 17,513,335

Collatz Trajectory (182 steps to reach 1)

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

17,513,335 52,540,006 26,270,003 78,810,010 39,405,005 118,215,016 59,107,508 29,553,754 14,776,877 44,330,632 22,165,316 11,082,658 5,541,329 16,623,988 8,311,994 4,155,997 12,467,992 6,233,996 3,116,998 1,558,499 4,675,498 2,337,749 7,013,248 3,506,624 1,753,312 876,656 438,328 219,164 109,582 54,791 164,374 82,187 246,562 123,281 369,844 184,922 92,461 277,384 138,692 69,346 34,673 104,020 52,010 26,005 78,016 39,008 19,504 9,752 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515

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