7,304,250

2 × 3 × 5³ × 9739

Starting at 7,304,250, the Collatz iteration reaches 1 after 173 steps. The first transition is 3652125; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 9739

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,233,280

Proper Divisor Sum 10,929,030

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7304183 ← → #7304257

Radix Representation

Decimal	7304250
Binary	11011110111010000111010 (23 bits)
Octal	0o33672072
Hexadecimal	0x6F743A

Divisor Catalog (32)

1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 9,739 19,478 29,217 48,695 58,434 97,390 146,085 243,475 292,170 486,950 730,425 1,217,375 1,460,850 2,434,750 3,652,125 7,304,250

Collatz Trajectory (173 steps to reach 1)

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

7,304,250 3,652,125 10,956,376 5,478,188 2,739,094 1,369,547 4,108,642 2,054,321 6,162,964 3,081,482 1,540,741 4,622,224 2,311,112 1,155,556 577,778 288,889 866,668 433,334 216,667 650,002 325,001 975,004 487,502 243,751 731,254 365,627 1,096,882 548,441 1,645,324 822,662 411,331 1,233,994 616,997 1,850,992 925,496 462,748 231,374 115,687 347,062 173,531 520,594 260,297 780,892 390,446 195,223 585,670 292,835 878,506 439,253 1,317,760 658,880 329,440 164,720 82,360 41,180 20,590 10,295 30,886 15,443 46,330

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