3,354,874

2 × 1031 × 1627

Starting at 3,354,874, the Collatz iteration reaches 1 after 115 steps. The first transition is 1677437; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1031 × 1627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,040,288

Proper Divisor Sum 1,685,414

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3354853 ← → #3354881

Radix Representation

Decimal	3354874
Binary	1100110011000011111010 (22 bits)
Octal	0o14630372
Hexadecimal	0x3330FA

Divisor Catalog (8)

1 2 1,031 1,627 2,062 3,254 1,677,437 3,354,874

Collatz Trajectory (115 steps to reach 1)

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

3,354,874 1,677,437 5,032,312 2,516,156 1,258,078 629,039 1,887,118 943,559 2,830,678 1,415,339 4,246,018 2,123,009 6,369,028 3,184,514 1,592,257 4,776,772 2,388,386 1,194,193 3,582,580 1,791,290 895,645 2,686,936 1,343,468 671,734 335,867 1,007,602 503,801 1,511,404 755,702 377,851 1,133,554 566,777 1,700,332 850,166 425,083 1,275,250 637,625 1,912,876 956,438 478,219 1,434,658 717,329 2,151,988 1,075,994 537,997 1,613,992 806,996 403,498 201,749 605,248 302,624 151,312 75,656 37,828 18,914 9,457 28,372 14,186 7,093 21,280

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