7,633,068

2² × 3 × 17² × 31 × 71

Starting at 7,633,068, the Collatz iteration reaches 1 after 129 steps. The first transition is 3816534; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17^2 × 31 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 19,805,184

Proper Divisor Sum 12,172,116

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7633039 ← → #7633091

Radix Representation

Decimal	7633068
Binary	11101000111100010101100 (23 bits)
Octal	0o35074254
Hexadecimal	0x7478AC

Divisor Catalog (60 of 72)

1 2 3 4 6 12 17 31 34 51 62 68 71 93 102 124 142 186 204 213 284 289 372 426 527 578 852 867 1,054 1,156 1,207 1,581 1,734 2,108 2,201 2,414 3,162 3,468 3,621 4,402 4,828 6,324 6,603 7,242 8,804 8,959 13,206 14,484 17,918 20,519 26,412 26,877 35,836 37,417 41,038 53,754 61,557 74,834 82,076 107,508

Collatz Trajectory (129 steps to reach 1)

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

7,633,068 3,816,534 1,908,267 5,724,802 2,862,401 8,587,204 4,293,602 2,146,801 6,440,404 3,220,202 1,610,101 4,830,304 2,415,152 1,207,576 603,788 301,894 150,947 452,842 226,421 679,264 339,632 169,816 84,908 42,454 21,227 63,682 31,841 95,524 47,762 23,881 71,644 35,822 17,911 53,734 26,867 80,602 40,301 120,904 60,452 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424

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