3,446,144

2⁷ × 13 × 19 × 109

Starting at 3,446,144, the Collatz iteration reaches 1 after 177 steps. The first transition is 1723072; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 13 × 19 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 7,854,000

Proper Divisor Sum 4,407,856

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3446137 ← → #3446171

Radix Representation

Decimal	3446144
Binary	1101001001010110000000 (22 bits)
Octal	0o15112600
Hexadecimal	0x349580

Divisor Catalog (60 of 64)

1 2 4 8 13 16 19 26 32 38 52 64 76 104 109 128 152 208 218 247 304 416 436 494 608 832 872 988 1,216 1,417 1,664 1,744 1,976 2,071 2,432 2,834 3,488 3,952 4,142 5,668 6,976 7,904 8,284 11,336 13,952 15,808 16,568 22,672 26,923 31,616 33,136 45,344 53,846 66,272 90,688 107,692 132,544 181,376 215,384 265,088

Collatz Trajectory (177 steps to reach 1)

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

3,446,144 1,723,072 861,536 430,768 215,384 107,692 53,846 26,923 80,770 40,385 121,156 60,578 30,289 90,868 45,434 22,717 68,152 34,076 17,038 8,519 25,558 12,779 38,338 19,169 57,508 28,754 14,377 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869

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