1,616,175

3² × 5² × 11 × 653

1,616,175 factors as 3^2 × 5^2 × 11 × 653. Its 36 positive divisors give a proper-divisor sum of 1,546,569, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 11 × 653

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 3,162,744

Proper Divisor Sum 1,546,569

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1616171 ← → #1616183

Radix Representation

Decimal	1616175
Binary	110001010100100101111 (21 bits)
Octal	0o6124457
Hexadecimal	0x18A92F

Divisor Catalog (36)

1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 653 825 1,959 2,475 3,265 5,877 7,183 9,795 16,325 21,549 29,385 35,915 48,975 64,647 107,745 146,925 179,575 323,235 538,725 1,616,175

Collatz Trajectory (119 steps to reach 1)

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

1,616,175 4,848,526 2,424,263 7,272,790 3,636,395 10,909,186 5,454,593 16,363,780 8,181,890 4,090,945 12,272,836 6,136,418 3,068,209 9,204,628 4,602,314 2,301,157 6,903,472 3,451,736 1,725,868 862,934 431,467 1,294,402 647,201 1,941,604 970,802 485,401 1,456,204 728,102 364,051 1,092,154 546,077 1,638,232 819,116 409,558 204,779 614,338 307,169 921,508 460,754 230,377 691,132 345,566 172,783 518,350 259,175 777,526 388,763 1,166,290 583,145 1,749,436 874,718 437,359 1,312,078 656,039 1,968,118 984,059 2,952,178 1,476,089 4,428,268 2,214,134

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