3,258,084

2² × 3 × 17 × 15971

Starting at 3,258,084, the Collatz iteration reaches 1 after 63 steps. The first transition is 1629042; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 15971

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,049,888

Proper Divisor Sum 4,791,804

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3258077 ← → #3258089

Radix Representation

Decimal	3258084
Binary	1100011011011011100100 (22 bits)
Octal	0o14333344
Hexadecimal	0x31B6E4

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 15,971 31,942 47,913 63,884 95,826 191,652 271,507 543,014 814,521 1,086,028 1,629,042 3,258,084

Collatz Trajectory (63 steps to reach 1)

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

3,258,084 1,629,042 814,521 2,443,564 1,221,782 610,891 1,832,674 916,337 2,749,012 1,374,506 687,253 2,061,760 1,030,880 515,440 257,720 128,860 64,430 32,215 96,646 48,323 144,970 72,485 217,456 108,728 54,364 27,182 13,591 40,774 20,387 61,162 30,581 91,744 45,872 22,936 11,468 5,734 2,867 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16

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