4,793,572

2² × 7² × 37 × 661

Starting at 4,793,572, the Collatz iteration reaches 1 after 92 steps. The first transition is 2396786; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 37 × 661

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 10,037,244

Proper Divisor Sum 5,243,672

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4793557 ← → #4793587

Radix Representation

Decimal	4793572
Binary	10010010010010011100100 (23 bits)
Octal	0o22222344
Hexadecimal	0x4924E4

Divisor Catalog (36)

1 2 4 7 14 28 37 49 74 98 148 196 259 518 661 1,036 1,322 1,813 2,644 3,626 4,627 7,252 9,254 18,508 24,457 32,389 48,914 64,778 97,828 129,556 171,199 342,398 684,796 1,198,393 2,396,786 4,793,572

Collatz Trajectory (92 steps to reach 1)

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

4,793,572 2,396,786 1,198,393 3,595,180 1,797,590 898,795 2,696,386 1,348,193 4,044,580 2,022,290 1,011,145 3,033,436 1,516,718 758,359 2,275,078 1,137,539 3,412,618 1,706,309 5,118,928 2,559,464 1,279,732 639,866 319,933 959,800 479,900 239,950 119,975 359,926 179,963 539,890 269,945 809,836 404,918 202,459 607,378 303,689 911,068 455,534 227,767 683,302 341,651 1,024,954 512,477 1,537,432 768,716 384,358 192,179 576,538 288,269 864,808 432,404 216,202 108,101 324,304 162,152 81,076 40,538 20,269 60,808 30,404

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