4,258,071

3² × 19 × 37 × 673

Starting at 4,258,071, the Collatz iteration reaches 1 after 198 steps. The first transition is 12774214; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 37 × 673

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,659,120

Proper Divisor Sum 2,401,049

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4258069 ← → #4258081

Radix Representation

Decimal	4258071
Binary	10000001111100100010111 (23 bits)
Octal	0o20174427
Hexadecimal	0x40F917

Divisor Catalog (24)

1 3 9 19 37 57 111 171 333 673 703 2,019 2,109 6,057 6,327 12,787 24,901 38,361 74,703 115,083 224,109 473,119 1,419,357 4,258,071

Collatz Trajectory (198 steps to reach 1)

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

4,258,071 12,774,214 6,387,107 19,161,322 9,580,661 28,741,984 14,370,992 7,185,496 3,592,748 1,796,374 898,187 2,694,562 1,347,281 4,041,844 2,020,922 1,010,461 3,031,384 1,515,692 757,846 378,923 1,136,770 568,385 1,705,156 852,578 426,289 1,278,868 639,434 319,717 959,152 479,576 239,788 119,894 59,947 179,842 89,921 269,764 134,882 67,441 202,324 101,162 50,581 151,744 75,872 37,936 18,968 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751

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