2,753,765

5 × 7 × 19 × 41 × 101

Starting at 2,753,765, the Collatz iteration reaches 1 after 200 steps. The first transition is 8261296; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 19 × 41 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,112,640

Proper Divisor Sum 1,358,875

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2753759 ← → #2753783

Radix Representation

Decimal	2753765
Binary	1010100000010011100101 (22 bits)
Octal	0o12402345
Hexadecimal	0x2A04E5

Divisor Catalog (32)

1 5 7 19 35 41 95 101 133 205 287 505 665 707 779 1,435 1,919 3,535 3,895 4,141 5,453 9,595 13,433 20,705 27,265 28,987 67,165 78,679 144,935 393,395 550,753 2,753,765

Collatz Trajectory (200 steps to reach 1)

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

2,753,765 8,261,296 4,130,648 2,065,324 1,032,662 516,331 1,548,994 774,497 2,323,492 1,161,746 580,873 1,742,620 871,310 435,655 1,306,966 653,483 1,960,450 980,225 2,940,676 1,470,338 735,169 2,205,508 1,102,754 551,377 1,654,132 827,066 413,533 1,240,600 620,300 310,150 155,075 465,226 232,613 697,840 348,920 174,460 87,230 43,615 130,846 65,423 196,270 98,135 294,406 147,203 441,610 220,805 662,416 331,208 165,604 82,802 41,401 124,204 62,102 31,051 93,154 46,577 139,732 69,866 34,933 104,800

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