5,587,050

2 × 3 × 5² × 7 × 17 × 313

Starting at 5,587,050, the Collatz iteration reaches 1 after 139 steps. The first transition is 2793525; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 17 × 313

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 16,820,352

Proper Divisor Sum 11,233,302

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5587003 ← → #5587073

Radix Representation

Decimal	5587050
Binary	10101010100000001101010 (23 bits)
Octal	0o25240152
Hexadecimal	0x55406A

Divisor Catalog (60 of 96)

1 2 3 5 6 7 10 14 15 17 21 25 30 34 35 42 50 51 70 75 85 102 105 119 150 170 175 210 238 255 313 350 357 425 510 525 595 626 714 850 939 1,050 1,190 1,275 1,565 1,785 1,878 2,191 2,550 2,975 3,130 3,570 4,382 4,695 5,321 5,950 6,573 7,825 8,925 9,390

Collatz Trajectory (139 steps to reach 1)

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

5,587,050 2,793,525 8,380,576 4,190,288 2,095,144 1,047,572 523,786 261,893 785,680 392,840 196,420 98,210 49,105 147,316 73,658 36,829 110,488 55,244 27,622 13,811 41,434 20,717 62,152 31,076 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476

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