986,583

3 × 13 × 41 × 617

986,583 factors as 3 × 13 × 41 × 617. Its 16 positive divisors give a proper-divisor sum of 466,953, so this integer is deficient. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 3 × 13 × 41 × 617

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,453,536

Proper Divisor Sum 466,953

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #986581 ← → #986593

Radix Representation

Decimal	986583
Binary	11110000110111010111 (20 bits)
Octal	0o3606727
Hexadecimal	0xF0DD7

Divisor Catalog (16)

1 3 13 39 41 123 533 617 1,599 1,851 8,021 24,063 25,297 75,891 328,861 986,583

Collatz Trajectory (170 steps to reach 1)

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

986,583 2,959,750 1,479,875 4,439,626 2,219,813 6,659,440 3,329,720 1,664,860 832,430 416,215 1,248,646 624,323 1,872,970 936,485 2,809,456 1,404,728 702,364 351,182 175,591 526,774 263,387 790,162 395,081 1,185,244 592,622 296,311 888,934 444,467 1,333,402 666,701 2,000,104 1,000,052 500,026 250,013 750,040 375,020 187,510 93,755 281,266 140,633 421,900 210,950 105,475 316,426 158,213 474,640 237,320 118,660 59,330 29,665 88,996 44,498 22,249 66,748 33,374 16,687 50,062 25,031 75,094 37,547

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