3,505,419

3² × 137 × 2843

Starting at 3,505,419, the Collatz iteration reaches 1 after 296 steps. The first transition is 10516258; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 137 × 2843

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,102,136

Proper Divisor Sum 1,596,717

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3505409 ← → #3505421

Radix Representation

Decimal	3505419
Binary	1101010111110100001011 (22 bits)
Octal	0o15276413
Hexadecimal	0x357D0B

Divisor Catalog (12)

1 3 9 137 411 1,233 2,843 8,529 25,587 389,491 1,168,473 3,505,419

Collatz Trajectory (296 steps to reach 1)

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

3,505,419 10,516,258 5,258,129 15,774,388 7,887,194 3,943,597 11,830,792 5,915,396 2,957,698 1,478,849 4,436,548 2,218,274 1,109,137 3,327,412 1,663,706 831,853 2,495,560 1,247,780 623,890 311,945 935,836 467,918 233,959 701,878 350,939 1,052,818 526,409 1,579,228 789,614 394,807 1,184,422 592,211 1,776,634 888,317 2,664,952 1,332,476 666,238 333,119 999,358 499,679 1,499,038 749,519 2,248,558 1,124,279 3,372,838 1,686,419 5,059,258 2,529,629 7,588,888 3,794,444 1,897,222 948,611 2,845,834 1,422,917 4,268,752 2,134,376 1,067,188 533,594 266,797 800,392

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