5,732,541

3² × 157 × 4057

Starting at 5,732,541, the Collatz iteration reaches 1 after 307 steps. The first transition is 17197624; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 157 × 4057

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,335,132

Proper Divisor Sum 2,602,591

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5732539 ← → #5732549

Radix Representation

Decimal	5732541
Binary	10101110111100010111101 (23 bits)
Octal	0o25674275
Hexadecimal	0x5778BD

Divisor Catalog (12)

1 3 9 157 471 1,413 4,057 12,171 36,513 636,949 1,910,847 5,732,541

Collatz Trajectory (307 steps to reach 1)

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

5,732,541 17,197,624 8,598,812 4,299,406 2,149,703 6,449,110 3,224,555 9,673,666 4,836,833 14,510,500 7,255,250 3,627,625 10,882,876 5,441,438 2,720,719 8,162,158 4,081,079 12,243,238 6,121,619 18,364,858 9,182,429 27,547,288 13,773,644 6,886,822 3,443,411 10,330,234 5,165,117 15,495,352 7,747,676 3,873,838 1,936,919 5,810,758 2,905,379 8,716,138 4,358,069 13,074,208 6,537,104 3,268,552 1,634,276 817,138 408,569 1,225,708 612,854 306,427 919,282 459,641 1,378,924 689,462 344,731 1,034,194 517,097 1,551,292 775,646 387,823 1,163,470 581,735 1,745,206 872,603 2,617,810 1,308,905

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