7,676,622

2 × 3² × 17 × 25087

Starting at 7,676,622, the Collatz iteration reaches 1 after 72 steps. The first transition is 3838311; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 25087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,611,776

Proper Divisor Sum 9,935,154

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7676621 ← → #7676633

Radix Representation

Decimal	7676622
Binary	11101010010001011001110 (23 bits)
Octal	0o35221316
Hexadecimal	0x7522CE

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 25,087 50,174 75,261 150,522 225,783 426,479 451,566 852,958 1,279,437 2,558,874 3,838,311 7,676,622

Collatz Trajectory (72 steps to reach 1)

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

7,676,622 3,838,311 11,514,934 5,757,467 17,272,402 8,636,201 25,908,604 12,954,302 6,477,151 19,431,454 9,715,727 29,147,182 14,573,591 43,720,774 21,860,387 65,581,162 32,790,581 98,371,744 49,185,872 24,592,936 12,296,468 6,148,234 3,074,117 9,222,352 4,611,176 2,305,588 1,152,794 576,397 1,729,192 864,596 432,298 216,149 648,448 324,224 162,112 81,056 40,528 20,264 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226

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