7,282,647

3² × 17 × 47599

Starting at 7,282,647, the Collatz iteration reaches 1 after 310 steps. The first transition is 21847942; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 47599

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,138,400

Proper Divisor Sum 3,855,753

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7282621 ← → #7282657

Radix Representation

Decimal	7282647
Binary	11011110001111111010111 (23 bits)
Octal	0o33617727
Hexadecimal	0x6F1FD7

Divisor Catalog (12)

1 3 9 17 51 153 47,599 142,797 428,391 809,183 2,427,549 7,282,647

Collatz Trajectory (310 steps to reach 1)

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

7,282,647 21,847,942 10,923,971 32,771,914 16,385,957 49,157,872 24,578,936 12,289,468 6,144,734 3,072,367 9,217,102 4,608,551 13,825,654 6,912,827 20,738,482 10,369,241 31,107,724 15,553,862 7,776,931 23,330,794 11,665,397 34,996,192 17,498,096 8,749,048 4,374,524 2,187,262 1,093,631 3,280,894 1,640,447 4,921,342 2,460,671 7,382,014 3,691,007 11,073,022 5,536,511 16,609,534 8,304,767 24,914,302 12,457,151 37,371,454 18,685,727 56,057,182 28,028,591 84,085,774 42,042,887 126,128,662 63,064,331 189,192,994 94,596,497 283,789,492 141,894,746 70,947,373 212,842,120 106,421,060 53,210,530 26,605,265 79,815,796 39,907,898 19,953,949 59,861,848

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