3,009,410

2 × 5 × 19 × 47 × 337

Starting at 3,009,410, the Collatz iteration reaches 1 after 63 steps. The first transition is 1504705; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 47 × 337

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,840,640

Proper Divisor Sum 2,831,230

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #3009407 ← → #3009421

Radix Representation

Decimal	3009410
Binary	1011011110101110000010 (22 bits)
Octal	0o13365602
Hexadecimal	0x2DEB82

Divisor Catalog (32)

1 2 5 10 19 38 47 94 95 190 235 337 470 674 893 1,685 1,786 3,370 4,465 6,403 8,930 12,806 15,839 31,678 32,015 64,030 79,195 158,390 300,941 601,882 1,504,705 3,009,410

Collatz Trajectory (63 steps to reach 1)

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

3,009,410 1,504,705 4,514,116 2,257,058 1,128,529 3,385,588 1,692,794 846,397 2,539,192 1,269,596 634,798 317,399 952,198 476,099 1,428,298 714,149 2,142,448 1,071,224 535,612 267,806 133,903 401,710 200,855 602,566 301,283 903,850 451,925 1,355,776 677,888 338,944 169,472 84,736 42,368 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16

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