3,179,913

3 × 11 × 173 × 557

Starting at 3,179,913, the Collatz iteration reaches 1 after 151 steps. The first transition is 9539740; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 173 × 557

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,660,416

Proper Divisor Sum 1,480,503

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3179873 ← → #3179921

Radix Representation

Decimal	3179913
Binary	1100001000010110001001 (22 bits)
Octal	0o14102611
Hexadecimal	0x308589

Divisor Catalog (16)

1 3 11 33 173 519 557 1,671 1,903 5,709 6,127 18,381 96,361 289,083 1,059,971 3,179,913

Collatz Trajectory (151 steps to reach 1)

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

3,179,913 9,539,740 4,769,870 2,384,935 7,154,806 3,577,403 10,732,210 5,366,105 16,098,316 8,049,158 4,024,579 12,073,738 6,036,869 18,110,608 9,055,304 4,527,652 2,263,826 1,131,913 3,395,740 1,697,870 848,935 2,546,806 1,273,403 3,820,210 1,910,105 5,730,316 2,865,158 1,432,579 4,297,738 2,148,869 6,446,608 3,223,304 1,611,652 805,826 402,913 1,208,740 604,370 302,185 906,556 453,278 226,639 679,918 339,959 1,019,878 509,939 1,529,818 764,909 2,294,728 1,147,364 573,682 286,841 860,524 430,262 215,131 645,394 322,697 968,092 484,046 242,023 726,070

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