7,241,970

2 × 3 × 5 × 283 × 853

Starting at 7,241,970, the Collatz iteration reaches 1 after 173 steps. The first transition is 3620985; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 283 × 853

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,462,592

Proper Divisor Sum 10,220,622

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7241959 ← → #7241977

Radix Representation

Decimal	7241970
Binary	11011101000000011110010 (23 bits)
Octal	0o33500362
Hexadecimal	0x6E80F2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 283 566 849 853 1,415 1,698 1,706 2,559 2,830 4,245 4,265 5,118 8,490 8,530 12,795 25,590 241,399 482,798 724,197 1,206,995 1,448,394 2,413,990 3,620,985 7,241,970

Collatz Trajectory (173 steps to reach 1)

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

7,241,970 3,620,985 10,862,956 5,431,478 2,715,739 8,147,218 4,073,609 12,220,828 6,110,414 3,055,207 9,165,622 4,582,811 13,748,434 6,874,217 20,622,652 10,311,326 5,155,663 15,466,990 7,733,495 23,200,486 11,600,243 34,800,730 17,400,365 52,201,096 26,100,548 13,050,274 6,525,137 19,575,412 9,787,706 4,893,853 14,681,560 7,340,780 3,670,390 1,835,195 5,505,586 2,752,793 8,258,380 4,129,190 2,064,595 6,193,786 3,096,893 9,290,680 4,645,340 2,322,670 1,161,335 3,484,006 1,742,003 5,226,010 2,613,005 7,839,016 3,919,508 1,959,754 979,877 2,939,632 1,469,816 734,908 367,454 183,727 551,182 275,591

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