7,298,172

2² × 3² × 7 × 28961

Starting at 7,298,172, the Collatz iteration reaches 1 after 235 steps. The first transition is 3649086; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 28961

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 21,084,336

Proper Divisor Sum 13,786,164

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7298167 ← → #7298173

Radix Representation

Decimal	7298172
Binary	11011110101110001111100 (23 bits)
Octal	0o33656174
Hexadecimal	0x6F5C7C

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 28,961 57,922 86,883 115,844 173,766 202,727 260,649 347,532 405,454 521,298 608,181 810,908 1,042,596 1,216,362 1,824,543 2,432,724 3,649,086 7,298,172

Collatz Trajectory (235 steps to reach 1)

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

7,298,172 3,649,086 1,824,543 5,473,630 2,736,815 8,210,446 4,105,223 12,315,670 6,157,835 18,473,506 9,236,753 27,710,260 13,855,130 6,927,565 20,782,696 10,391,348 5,195,674 2,597,837 7,793,512 3,896,756 1,948,378 974,189 2,922,568 1,461,284 730,642 365,321 1,095,964 547,982 273,991 821,974 410,987 1,232,962 616,481 1,849,444 924,722 462,361 1,387,084 693,542 346,771 1,040,314 520,157 1,560,472 780,236 390,118 195,059 585,178 292,589 877,768 438,884 219,442 109,721 329,164 164,582 82,291 246,874 123,437 370,312 185,156 92,578 46,289

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