7,662,030

2 × 3 × 5 × 97 × 2633

Starting at 7,662,030, the Collatz iteration reaches 1 after 186 steps. The first transition is 3831015; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 97 × 2633

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,585,504

Proper Divisor Sum 10,923,474

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7662029 ← → #7662047

Radix Representation

Decimal	7662030
Binary	11101001110100111001110 (23 bits)
Octal	0o35164716
Hexadecimal	0x74E9CE

Divisor Catalog (32)

1 2 3 5 6 10 15 30 97 194 291 485 582 970 1,455 2,633 2,910 5,266 7,899 13,165 15,798 26,330 39,495 78,990 255,401 510,802 766,203 1,277,005 1,532,406 2,554,010 3,831,015 7,662,030

Collatz Trajectory (186 steps to reach 1)

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

7,662,030 3,831,015 11,493,046 5,746,523 17,239,570 8,619,785 25,859,356 12,929,678 6,464,839 19,394,518 9,697,259 29,091,778 14,545,889 43,637,668 21,818,834 10,909,417 32,728,252 16,364,126 8,182,063 24,546,190 12,273,095 36,819,286 18,409,643 55,228,930 27,614,465 82,843,396 41,421,698 20,710,849 62,132,548 31,066,274 15,533,137 46,599,412 23,299,706 11,649,853 34,949,560 17,474,780 8,737,390 4,368,695 13,106,086 6,553,043 19,659,130 9,829,565 29,488,696 14,744,348 7,372,174 3,686,087 11,058,262 5,529,131 16,587,394 8,293,697 24,881,092 12,440,546 6,220,273 18,660,820 9,330,410 4,665,205 13,995,616 6,997,808 3,498,904 1,749,452

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