4,252,590

2 × 3² × 5 × 47251

Starting at 4,252,590, the Collatz iteration reaches 1 after 273 steps. The first transition is 2126295; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 47251

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,056,968

Proper Divisor Sum 6,804,378

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4252583 ← → #4252679

Radix Representation

Decimal	4252590
Binary	10000001110001110101110 (23 bits)
Octal	0o20161656
Hexadecimal	0x40E3AE

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 47,251 94,502 141,753 236,255 283,506 425,259 472,510 708,765 850,518 1,417,530 2,126,295 4,252,590

Collatz Trajectory (273 steps to reach 1)

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

4,252,590 2,126,295 6,378,886 3,189,443 9,568,330 4,784,165 14,352,496 7,176,248 3,588,124 1,794,062 897,031 2,691,094 1,345,547 4,036,642 2,018,321 6,054,964 3,027,482 1,513,741 4,541,224 2,270,612 1,135,306 567,653 1,702,960 851,480 425,740 212,870 106,435 319,306 159,653 478,960 239,480 119,740 59,870 29,935 89,806 44,903 134,710 67,355 202,066 101,033 303,100 151,550 75,775 227,326 113,663 340,990 170,495 511,486 255,743 767,230 383,615 1,150,846 575,423 1,726,270 863,135 2,589,406 1,294,703 3,884,110 1,942,055 5,826,166

← Previous Integer #4,252,589 Browse Full Index Next Integer #4,252,591 →