5,581,350

2 × 3² × 5² × 79 × 157

Starting at 5,581,350, the Collatz iteration reaches 1 after 139 steps. The first transition is 2790675; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 79 × 157

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 15,281,760

Proper Divisor Sum 9,700,410

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5581349 ← → #5581351

Radix Representation

Decimal	5581350
Binary	10101010010101000100110 (23 bits)
Octal	0o25225046
Hexadecimal	0x552A26

Divisor Catalog (60 of 72)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 79 90 150 157 158 225 237 314 395 450 471 474 711 785 790 942 1,185 1,413 1,422 1,570 1,975 2,355 2,370 2,826 3,555 3,925 3,950 4,710 5,925 7,065 7,110 7,850 11,775 11,850 12,403 14,130 17,775 23,550 24,806 35,325 35,550 37,209 62,015 70,650 74,418 111,627

Collatz Trajectory (139 steps to reach 1)

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

5,581,350 2,790,675 8,372,026 4,186,013 12,558,040 6,279,020 3,139,510 1,569,755 4,709,266 2,354,633 7,063,900 3,531,950 1,765,975 5,297,926 2,648,963 7,946,890 3,973,445 11,920,336 5,960,168 2,980,084 1,490,042 745,021 2,235,064 1,117,532 558,766 279,383 838,150 419,075 1,257,226 628,613 1,885,840 942,920 471,460 235,730 117,865 353,596 176,798 88,399 265,198 132,599 397,798 198,899 596,698 298,349 895,048 447,524 223,762 111,881 335,644 167,822 83,911 251,734 125,867 377,602 188,801 566,404 283,202 141,601 424,804 212,402

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