7,287,350

2 × 5² × 7 × 47 × 443

Starting at 7,287,350, the Collatz iteration reaches 1 after 235 steps. The first transition is 3643675; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 47 × 443

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,856,128

Proper Divisor Sum 8,568,778

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7287337 ← → #7287359

Radix Representation

Decimal	7287350
Binary	11011110011001000110110 (23 bits)
Octal	0o33631066
Hexadecimal	0x6F3236

Divisor Catalog (48)

1 2 5 7 10 14 25 35 47 50 70 94 175 235 329 350 443 470 658 886 1,175 1,645 2,215 2,350 3,101 3,290 4,430 6,202 8,225 11,075 15,505 16,450 20,821 22,150 31,010 41,642 77,525 104,105 145,747 155,050 208,210 291,494 520,525 728,735 1,041,050 1,457,470 3,643,675 7,287,350

Collatz Trajectory (235 steps to reach 1)

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

7,287,350 3,643,675 10,931,026 5,465,513 16,396,540 8,198,270 4,099,135 12,297,406 6,148,703 18,446,110 9,223,055 27,669,166 13,834,583 41,503,750 20,751,875 62,255,626 31,127,813 93,383,440 46,691,720 23,345,860 11,672,930 5,836,465 17,509,396 8,754,698 4,377,349 13,132,048 6,566,024 3,283,012 1,641,506 820,753 2,462,260 1,231,130 615,565 1,846,696 923,348 461,674 230,837 692,512 346,256 173,128 86,564 43,282 21,641 64,924 32,462 16,231 48,694 24,347 73,042 36,521 109,564 54,782 27,391 82,174 41,087 123,262 61,631 184,894 92,447 277,342

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