3,420,258

2 × 3 × 570043

Starting at 3,420,258, the Collatz iteration reaches 1 after 252 steps. The first transition is 1710129; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 570043

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,840,528

Proper Divisor Sum 3,420,270

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3420257 ← → #3420271

Radix Representation

Decimal	3420258
Binary	1101000011000001100010 (22 bits)
Octal	0o15030142
Hexadecimal	0x343062

Divisor Catalog (8)

1 2 3 6 570,043 1,140,086 1,710,129 3,420,258

Collatz Trajectory (252 steps to reach 1)

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

3,420,258 1,710,129 5,130,388 2,565,194 1,282,597 3,847,792 1,923,896 961,948 480,974 240,487 721,462 360,731 1,082,194 541,097 1,623,292 811,646 405,823 1,217,470 608,735 1,826,206 913,103 2,739,310 1,369,655 4,108,966 2,054,483 6,163,450 3,081,725 9,245,176 4,622,588 2,311,294 1,155,647 3,466,942 1,733,471 5,200,414 2,600,207 7,800,622 3,900,311 11,700,934 5,850,467 17,551,402 8,775,701 26,327,104 13,163,552 6,581,776 3,290,888 1,645,444 822,722 411,361 1,234,084 617,042 308,521 925,564 462,782 231,391 694,174 347,087 1,041,262 520,631 1,561,894 780,947

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