688,041

3³ × 17 × 1499

688,041 factors as 3^3 × 17 × 1499. Its 16 positive divisors give a proper-divisor sum of 391,959, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3^3 × 17 × 1499

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,080,000

Proper Divisor Sum 391,959

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #688031 ← → #688063

Radix Representation

Decimal	688041
Binary	10100111111110101001 (20 bits)
Octal	0o2477651
Hexadecimal	0xA7FA9

Divisor Catalog (16)

1 3 9 17 27 51 153 459 1,499 4,497 13,491 25,483 40,473 76,449 229,347 688,041

Collatz Trajectory (167 steps to reach 1)

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

688,041 2,064,124 1,032,062 516,031 1,548,094 774,047 2,322,142 1,161,071 3,483,214 1,741,607 5,224,822 2,612,411 7,837,234 3,918,617 11,755,852 5,877,926 2,938,963 8,816,890 4,408,445 13,225,336 6,612,668 3,306,334 1,653,167 4,959,502 2,479,751 7,439,254 3,719,627 11,158,882 5,579,441 16,738,324 8,369,162 4,184,581 12,553,744 6,276,872 3,138,436 1,569,218 784,609 2,353,828 1,176,914 588,457 1,765,372 882,686 441,343 1,324,030 662,015 1,986,046 993,023 2,979,070 1,489,535 4,468,606 2,234,303 6,702,910 3,351,455 10,054,366 5,027,183 15,081,550 7,540,775 22,622,326 11,311,163 33,933,490

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