979,641

3³ × 13 × 2791

979,641 factors as 3^3 × 13 × 2791. Its 16 positive divisors give a proper-divisor sum of 583,879, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 3^3 × 13 × 2791

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,563,520

Proper Divisor Sum 583,879

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #979567 ← → #979651

Radix Representation

Decimal	979641
Binary	11101111001010111001 (20 bits)
Octal	0o3571271
Hexadecimal	0xEF2B9

Divisor Catalog (16)

1 3 9 13 27 39 117 351 2,791 8,373 25,119 36,283 75,357 108,849 326,547 979,641

Collatz Trajectory (183 steps to reach 1)

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

979,641 2,938,924 1,469,462 734,731 2,204,194 1,102,097 3,306,292 1,653,146 826,573 2,479,720 1,239,860 619,930 309,965 929,896 464,948 232,474 116,237 348,712 174,356 87,178 43,589 130,768 65,384 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037

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