9,102,022

2 × 587 × 7753

Starting at 9,102,022, the Collatz iteration reaches 1 after 106 steps. The first transition is 4551011; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 587 × 7753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,678,056

Proper Divisor Sum 4,576,034

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #9101999 ← → #9102047

Radix Representation

Decimal	9102022
Binary	100010101110001011000110 (24 bits)
Octal	0o42561306
Hexadecimal	0x8AE2C6

Divisor Catalog (8)

1 2 587 1,174 7,753 15,506 4,551,011 9,102,022

Collatz Trajectory (106 steps to reach 1)

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

9,102,022 4,551,011 13,653,034 6,826,517 20,479,552 10,239,776 5,119,888 2,559,944 1,279,972 639,986 319,993 959,980 479,990 239,995 719,986 359,993 1,079,980 539,990 269,995 809,986 404,993 1,214,980 607,490 303,745 911,236 455,618 227,809 683,428 341,714 170,857 512,572 256,286 128,143 384,430 192,215 576,646 288,323 864,970 432,485 1,297,456 648,728 324,364 162,182 81,091 243,274 121,637 364,912 182,456 91,228 45,614 22,807 68,422 34,211 102,634 51,317 153,952 76,976 38,488 19,244 9,622

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