7,652,262

2 × 3 × 467 × 2731

Starting at 7,652,262, the Collatz iteration reaches 1 after 124 steps. The first transition is 3826131; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 467 × 2731

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,342,912

Proper Divisor Sum 7,690,650

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7652251 ← → #7652273

Radix Representation

Decimal	7652262
Binary	11101001100001110100110 (23 bits)
Octal	0o35141646
Hexadecimal	0x74C3A6

Divisor Catalog (16)

1 2 3 6 467 934 1,401 2,731 2,802 5,462 8,193 16,386 1,275,377 2,550,754 3,826,131 7,652,262

Collatz Trajectory (124 steps to reach 1)

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

7,652,262 3,826,131 11,478,394 5,739,197 17,217,592 8,608,796 4,304,398 2,152,199 6,456,598 3,228,299 9,684,898 4,842,449 14,527,348 7,263,674 3,631,837 10,895,512 5,447,756 2,723,878 1,361,939 4,085,818 2,042,909 6,128,728 3,064,364 1,532,182 766,091 2,298,274 1,149,137 3,447,412 1,723,706 861,853 2,585,560 1,292,780 646,390 323,195 969,586 484,793 1,454,380 727,190 363,595 1,090,786 545,393 1,636,180 818,090 409,045 1,227,136 613,568 306,784 153,392 76,696 38,348 19,174 9,587 28,762 14,381 43,144 21,572 10,786 5,393 16,180 8,090

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