4,524,065

5 × 7 × 13 × 61 × 163

Starting at 4,524,065, the Collatz iteration reaches 1 after 255 steps. The first transition is 13572196; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 61 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,832,896

Proper Divisor Sum 2,308,831

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4524059 ← → #4524083

Radix Representation

Decimal	4524065
Binary	10001010000100000100001 (23 bits)
Octal	0o21204041
Hexadecimal	0x450821

Divisor Catalog (32)

1 5 7 13 35 61 65 91 163 305 427 455 793 815 1,141 2,119 2,135 3,965 5,551 5,705 9,943 10,595 14,833 27,755 49,715 69,601 74,165 129,259 348,005 646,295 904,813 4,524,065

Collatz Trajectory (255 steps to reach 1)

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

4,524,065 13,572,196 6,786,098 3,393,049 10,179,148 5,089,574 2,544,787 7,634,362 3,817,181 11,451,544 5,725,772 2,862,886 1,431,443 4,294,330 2,147,165 6,441,496 3,220,748 1,610,374 805,187 2,415,562 1,207,781 3,623,344 1,811,672 905,836 452,918 226,459 679,378 339,689 1,019,068 509,534 254,767 764,302 382,151 1,146,454 573,227 1,719,682 859,841 2,579,524 1,289,762 644,881 1,934,644 967,322 483,661 1,450,984 725,492 362,746 181,373 544,120 272,060 136,030 68,015 204,046 102,023 306,070 153,035 459,106 229,553 688,660 344,330 172,165

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