159,039

3² × 41 × 431

159,039 factors as 3^2 × 41 × 431. Its 12 positive divisors give a proper-divisor sum of 76,833, so this integer is deficient. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 3^2 × 41 × 431

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 235,872

Proper Divisor Sum 76,833

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #159023 ← → #159059

Radix Representation

Decimal	159039
Binary	100110110100111111 (18 bits)
Octal	0o466477
Hexadecimal	0x26D3F

Divisor Catalog (12)

1 3 9 41 123 369 431 1,293 3,879 17,671 53,013 159,039

Collatz Trajectory (170 steps to reach 1)

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

159,039 477,118 238,559 715,678 357,839 1,073,518 536,759 1,610,278 805,139 2,415,418 1,207,709 3,623,128 1,811,564 905,782 452,891 1,358,674 679,337 2,038,012 1,019,006 509,503 1,528,510 764,255 2,292,766 1,146,383 3,439,150 1,719,575 5,158,726 2,579,363 7,738,090 3,869,045 11,607,136 5,803,568 2,901,784 1,450,892 725,446 362,723 1,088,170 544,085 1,632,256 816,128 408,064 204,032 102,016 51,008 25,504 12,752 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012

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