3,506,470

2 × 5 × 11 × 127 × 251

Starting at 3,506,470, the Collatz iteration reaches 1 after 177 steps. The first transition is 1753235; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 127 × 251

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,967,296

Proper Divisor Sum 3,460,826

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3506423 ← → #3506479

Radix Representation

Decimal	3506470
Binary	1101011000000100100110 (22 bits)
Octal	0o15300446
Hexadecimal	0x358126

Divisor Catalog (32)

1 2 5 10 11 22 55 110 127 251 254 502 635 1,255 1,270 1,397 2,510 2,761 2,794 5,522 6,985 13,805 13,970 27,610 31,877 63,754 159,385 318,770 350,647 701,294 1,753,235 3,506,470

Collatz Trajectory (177 steps to reach 1)

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

3,506,470 1,753,235 5,259,706 2,629,853 7,889,560 3,944,780 1,972,390 986,195 2,958,586 1,479,293 4,437,880 2,218,940 1,109,470 554,735 1,664,206 832,103 2,496,310 1,248,155 3,744,466 1,872,233 5,616,700 2,808,350 1,404,175 4,212,526 2,106,263 6,318,790 3,159,395 9,478,186 4,739,093 14,217,280 7,108,640 3,554,320 1,777,160 888,580 444,290 222,145 666,436 333,218 166,609 499,828 249,914 124,957 374,872 187,436 93,718 46,859 140,578 70,289 210,868 105,434 52,717 158,152 79,076 39,538 19,769 59,308 29,654 14,827 44,482 22,241

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