9,106,526

2 × 11 × 13 × 17 × 1873

Starting at 9,106,526, the Collatz iteration reaches 1 after 106 steps. The first transition is 4553263; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 17 × 1873

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,000,928

Proper Divisor Sum 7,894,402

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9106523 ← → #9106553

Radix Representation

Decimal	9106526
Binary	100010101111010001011110 (24 bits)
Octal	0o42572136
Hexadecimal	0x8AF45E

Divisor Catalog (32)

1 2 11 13 17 22 26 34 143 187 221 286 374 442 1,873 2,431 3,746 4,862 20,603 24,349 31,841 41,206 48,698 63,682 267,839 350,251 413,933 535,678 700,502 827,866 4,553,263 9,106,526

Collatz Trajectory (106 steps to reach 1)

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

9,106,526 4,553,263 13,659,790 6,829,895 20,489,686 10,244,843 30,734,530 15,367,265 46,101,796 23,050,898 11,525,449 34,576,348 17,288,174 8,644,087 25,932,262 12,966,131 38,898,394 19,449,197 58,347,592 29,173,796 14,586,898 7,293,449 21,880,348 10,940,174 5,470,087 16,410,262 8,205,131 24,615,394 12,307,697 36,923,092 18,461,546 9,230,773 27,692,320 13,846,160 6,923,080 3,461,540 1,730,770 865,385 2,596,156 1,298,078 649,039 1,947,118 973,559 2,920,678 1,460,339 4,381,018 2,190,509 6,571,528 3,285,764 1,642,882 821,441 2,464,324 1,232,162 616,081 1,848,244 924,122 462,061 1,386,184 693,092 346,546

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