2,261,370

2 × 3 × 5 × 43 × 1753

Starting at 2,261,370, the Collatz iteration reaches 1 after 179 steps. The first transition is 1130685; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 43 × 1753

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,556,672

Proper Divisor Sum 3,295,302

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2261353 ← → #2261377

Radix Representation

Decimal	2261370
Binary	1000101000000101111010 (22 bits)
Octal	0o10500572
Hexadecimal	0x22817A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1,290 1,753 3,506 5,259 8,765 10,518 17,530 26,295 52,590 75,379 150,758 226,137 376,895 452,274 753,790 1,130,685 2,261,370

Collatz Trajectory (179 steps to reach 1)

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

2,261,370 1,130,685 3,392,056 1,696,028 848,014 424,007 1,272,022 636,011 1,908,034 954,017 2,862,052 1,431,026 715,513 2,146,540 1,073,270 536,635 1,609,906 804,953 2,414,860 1,207,430 603,715 1,811,146 905,573 2,716,720 1,358,360 679,180 339,590 169,795 509,386 254,693 764,080 382,040 191,020 95,510 47,755 143,266 71,633 214,900 107,450 53,725 161,176 80,588 40,294 20,147 60,442 30,221 90,664 45,332 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392

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