3,577,284

2² × 3⁴ × 61 × 181

Starting at 3,577,284, the Collatz iteration reaches 1 after 97 steps. The first transition is 1788642; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 61 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 9,557,548

Proper Divisor Sum 5,980,264

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3577267 ← → #3577289

Radix Representation

Decimal	3577284
Binary	1101101001010111000100 (22 bits)
Octal	0o15512704
Hexadecimal	0x3695C4

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 181 183 244 324 362 366 543 549 724 732 1,086 1,098 1,629 1,647 2,172 2,196 3,258 3,294 4,887 4,941 6,516 6,588 9,774 9,882 11,041 14,661 19,548 19,764 22,082 29,322 33,123 44,164 58,644 66,246 99,369 132,492 198,738 298,107 397,476 596,214 894,321 1,192,428 1,788,642 3,577,284

Collatz Trajectory (97 steps to reach 1)

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

3,577,284 1,788,642 894,321 2,682,964 1,341,482 670,741 2,012,224 1,006,112 503,056 251,528 125,764 62,882 31,441 94,324 47,162 23,581 70,744 35,372 17,686 8,843 26,530 13,265 39,796 19,898 9,949 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634

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