3,159,408

2⁴ × 3 × 7 × 9403

Starting at 3,159,408, the Collatz iteration reaches 1 after 151 steps. The first transition is 1579704; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 9403

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,328,768

Proper Divisor Sum 6,169,360

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3159397 ← → #3159413

Radix Representation

Decimal	3159408
Binary	1100000011010101110000 (22 bits)
Octal	0o14032560
Hexadecimal	0x303570

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 9,403 18,806 28,209 37,612 56,418 65,821 75,224 112,836 131,642 150,448 197,463 225,672 263,284 394,926 451,344 526,568 789,852 1,053,136 1,579,704 3,159,408

Collatz Trajectory (151 steps to reach 1)

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

3,159,408 1,579,704 789,852 394,926 197,463 592,390 296,195 888,586 444,293 1,332,880 666,440 333,220 166,610 83,305 249,916 124,958 62,479 187,438 93,719 281,158 140,579 421,738 210,869 632,608 316,304 158,152 79,076 39,538 19,769 59,308 29,654 14,827 44,482 22,241 66,724 33,362 16,681 50,044 25,022 12,511 37,534 18,767 56,302 28,151 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256

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