7,642,308

2² × 3 × 83 × 7673

Starting at 7,642,308, the Collatz iteration reaches 1 after 80 steps. The first transition is 3821154; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 83 × 7673

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,049,248

Proper Divisor Sum 10,406,940

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7642301 ← → #7642321

Radix Representation

Decimal	7642308
Binary	11101001001110011000100 (23 bits)
Octal	0o35116304
Hexadecimal	0x749CC4

Divisor Catalog (24)

1 2 3 4 6 12 83 166 249 332 498 996 7,673 15,346 23,019 30,692 46,038 92,076 636,859 1,273,718 1,910,577 2,547,436 3,821,154 7,642,308

Collatz Trajectory (80 steps to reach 1)

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

7,642,308 3,821,154 1,910,577 5,731,732 2,865,866 1,432,933 4,298,800 2,149,400 1,074,700 537,350 268,675 806,026 403,013 1,209,040 604,520 302,260 151,130 75,565 226,696 113,348 56,674 28,337 85,012 42,506 21,253 63,760 31,880 15,940 7,970 3,985 11,956 5,978 2,989 8,968 4,484 2,242 1,121 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38

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