491,647

13 × 59 × 641

For 491,647, the 8 positive divisors have a total of 539,280. Removing 491,647 leaves 47,633, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 59 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 539,280

Proper Divisor Sum 47,633

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #491639 ← → #491651

Radix Representation

Decimal	491647
Binary	1111000000001111111 (19 bits)
Octal	0o1700177
Hexadecimal	0x7807F

Divisor Catalog (8)

1 13 59 641 767 8,333 37,819 491,647

Collatz Trajectory (107 steps to reach 1)

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

491,647 1,474,942 737,471 2,212,414 1,106,207 3,318,622 1,659,311 4,977,934 2,488,967 7,466,902 3,733,451 11,200,354 5,600,177 16,800,532 8,400,266 4,200,133 12,600,400 6,300,200 3,150,100 1,575,050 787,525 2,362,576 1,181,288 590,644 295,322 147,661 442,984 221,492 110,746 55,373 166,120 83,060 41,530 20,765 62,296 31,148 15,574 7,787 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718

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