λ
Ratio Atlas

1,509,593

47 × 32119
Deficient Odd Composite

1,509,593 factors as 47 × 32119. Its 4 positive divisors give a proper-divisor sum of 32,167, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 47 × 32119
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,541,760
Proper Divisor Sum 32,167
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1509589 ← → #1509623

Radix Representation

Decimal 1509593
Binary 101110000100011011001 (21 bits)
Octal 0o5604331
Hexadecimal 0x1708D9

Divisor Catalog (4)

1 47 32,119 1,509,593

Collatz Trajectory (137 steps to reach 1)

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

1,509,593 4,528,780 2,264,390 1,132,195 3,396,586 1,698,293 5,094,880 2,547,440 1,273,720 636,860 318,430 159,215 477,646 238,823 716,470 358,235 1,074,706 537,353 1,612,060 806,030 403,015 1,209,046 604,523 1,813,570 906,785 2,720,356 1,360,178 680,089 2,040,268 1,020,134 510,067 1,530,202 765,101 2,295,304 1,147,652 573,826 286,913 860,740 430,370 215,185 645,556 322,778 161,389 484,168 242,084 121,042 60,521 181,564 90,782 45,391 136,174 68,087 204,262 102,131 306,394 153,197 459,592 229,796 114,898 57,449

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