7,227,090

2 × 3³ × 5 × 13 × 29 × 71

Starting at 7,227,090, the Collatz iteration reaches 1 after 90 steps. The first transition is 3613545; the starting value is even with 128 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 13 × 29 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 21,772,800

Proper Divisor Sum 14,545,710

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7227071 ← → #7227109

Radix Representation

Decimal	7227090
Binary	11011100100011011010010 (23 bits)
Octal	0o33443322
Hexadecimal	0x6E46D2

Divisor Catalog (60 of 128)

1 2 3 5 6 9 10 13 15 18 26 27 29 30 39 45 54 58 65 71 78 87 90 117 130 135 142 145 174 195 213 234 261 270 290 351 355 377 390 426 435 522 585 639 702 710 754 783 870 923 1,065 1,131 1,170 1,278 1,305 1,566 1,755 1,846 1,885 1,917

Collatz Trajectory (90 steps to reach 1)

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

7,227,090 3,613,545 10,840,636 5,420,318 2,710,159 8,130,478 4,065,239 12,195,718 6,097,859 18,293,578 9,146,789 27,440,368 13,720,184 6,860,092 3,430,046 1,715,023 5,145,070 2,572,535 7,717,606 3,858,803 11,576,410 5,788,205 17,364,616 8,682,308 4,341,154 2,170,577 6,511,732 3,255,866 1,627,933 4,883,800 2,441,900 1,220,950 610,475 1,831,426 915,713 2,747,140 1,373,570 686,785 2,060,356 1,030,178 515,089 1,545,268 772,634 386,317 1,158,952 579,476 289,738 144,869 434,608 217,304 108,652 54,326 27,163 81,490 40,745 122,236 61,118 30,559 91,678 45,839

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