4,452,759

3³ × 17 × 89 × 109

Starting at 4,452,759, the Collatz iteration reaches 1 after 61 steps. The first transition is 13358278; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 17 × 89 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,128,000

Proper Divisor Sum 2,675,241

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4452751 ← → #4452761

Radix Representation

Decimal	4452759
Binary	10000111111000110010111 (23 bits)
Octal	0o20770627
Hexadecimal	0x43F197

Divisor Catalog (32)

1 3 9 17 27 51 89 109 153 267 327 459 801 981 1,513 1,853 2,403 2,943 4,539 5,559 9,701 13,617 16,677 29,103 40,851 50,031 87,309 164,917 261,927 494,751 1,484,253 4,452,759

Collatz Trajectory (61 steps to reach 1)

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

4,452,759 13,358,278 6,679,139 20,037,418 10,018,709 30,056,128 15,028,064 7,514,032 3,757,016 1,878,508 939,254 469,627 1,408,882 704,441 2,113,324 1,056,662 528,331 1,584,994 792,497 2,377,492 1,188,746 594,373 1,783,120 891,560 445,780 222,890 111,445 334,336 167,168 83,584 41,792 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

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