7,591,890

2 × 3 × 5 × 253063

Starting at 7,591,890, the Collatz iteration reaches 1 after 240 steps. The first transition is 3795945; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 253063

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,220,608

Proper Divisor Sum 10,628,718

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7591889 ← → #7591907

Radix Representation

Decimal	7591890
Binary	11100111101011111010010 (23 bits)
Octal	0o34753722
Hexadecimal	0x73D7D2

Divisor Catalog (16)

1 2 3 5 6 10 15 30 253,063 506,126 759,189 1,265,315 1,518,378 2,530,630 3,795,945 7,591,890

Collatz Trajectory (240 steps to reach 1)

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

7,591,890 3,795,945 11,387,836 5,693,918 2,846,959 8,540,878 4,270,439 12,811,318 6,405,659 19,216,978 9,608,489 28,825,468 14,412,734 7,206,367 21,619,102 10,809,551 32,428,654 16,214,327 48,642,982 24,321,491 72,964,474 36,482,237 109,446,712 54,723,356 27,361,678 13,680,839 41,042,518 20,521,259 61,563,778 30,781,889 92,345,668 46,172,834 23,086,417 69,259,252 34,629,626 17,314,813 51,944,440 25,972,220 12,986,110 6,493,055 19,479,166 9,739,583 29,218,750 14,609,375 43,828,126 21,914,063 65,742,190 32,871,095 98,613,286 49,306,643 147,919,930 73,959,965 221,879,896 110,939,948 55,469,974 27,734,987 83,204,962 41,602,481 124,807,444 62,403,722

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