7,654,023

3² × 13 × 65419

Starting at 7,654,023, the Collatz iteration reaches 1 after 80 steps. The first transition is 22962070; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 65419

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,906,440

Proper Divisor Sum 4,252,417

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7654019 ← → #7654037

Radix Representation

Decimal	7654023
Binary	11101001100101010000111 (23 bits)
Octal	0o35145207
Hexadecimal	0x74CA87

Divisor Catalog (12)

1 3 9 13 39 117 65,419 196,257 588,771 850,447 2,551,341 7,654,023

Collatz Trajectory (80 steps to reach 1)

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

7,654,023 22,962,070 11,481,035 34,443,106 17,221,553 51,664,660 25,832,330 12,916,165 38,748,496 19,374,248 9,687,124 4,843,562 2,421,781 7,265,344 3,632,672 1,816,336 908,168 454,084 227,042 113,521 340,564 170,282 85,141 255,424 127,712 63,856 31,928 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38

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