17,517,049

11² × 71 × 2039

17,517,049 factors as 11^2 × 71 × 2039. Its 12 positive divisors give a proper-divisor sum of 2,017,991, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 11^2 × 71 × 2039

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,535,040

Proper Divisor Sum 2,017,991

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #17517047 ← → #17517079

Radix Representation

Decimal	17517049
Binary	1000010110100100111111001 (25 bits)
Octal	0o102644771
Hexadecimal	0x10B49F9

Divisor Catalog (12)

1 11 71 121 781 2,039 8,591 22,429 144,769 246,719 1,592,459 17,517,049

Collatz Trajectory (174 steps to reach 1)

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

17,517,049 52,551,148 26,275,574 13,137,787 39,413,362 19,706,681 59,120,044 29,560,022 14,780,011 44,340,034 22,170,017 66,510,052 33,255,026 16,627,513 49,882,540 24,941,270 12,470,635 37,411,906 18,705,953 56,117,860 28,058,930 14,029,465 42,088,396 21,044,198 10,522,099 31,566,298 15,783,149 47,349,448 23,674,724 11,837,362 5,918,681 17,756,044 8,878,022 4,439,011 13,317,034 6,658,517 19,975,552 9,987,776 4,993,888 2,496,944 1,248,472 624,236 312,118 156,059 468,178 234,089 702,268 351,134 175,567 526,702 263,351 790,054 395,027 1,185,082 592,541 1,777,624 888,812 444,406 222,203 666,610

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