9,006,575

5² × 313 × 1151

Starting at 9,006,575, the Collatz iteration reaches 1 after 150 steps. The first transition is 27019726; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 313 × 1151

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,213,568

Proper Divisor Sum 2,206,993

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9006509 ← → #9006581

Radix Representation

Decimal	9006575
Binary	100010010110110111101111 (24 bits)
Octal	0o42266757
Hexadecimal	0x896DEF

Divisor Catalog (12)

1 5 25 313 1,151 1,565 5,755 7,825 28,775 360,263 1,801,315 9,006,575

Collatz Trajectory (150 steps to reach 1)

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

9,006,575 27,019,726 13,509,863 40,529,590 20,264,795 60,794,386 30,397,193 91,191,580 45,595,790 22,797,895 68,393,686 34,196,843 102,590,530 51,295,265 153,885,796 76,942,898 38,471,449 115,414,348 57,707,174 28,853,587 86,560,762 43,280,381 129,841,144 64,920,572 32,460,286 16,230,143 48,690,430 24,345,215 73,035,646 36,517,823 109,553,470 54,776,735 164,330,206 82,165,103 246,495,310 123,247,655 369,742,966 184,871,483 554,614,450 277,307,225 831,921,676 415,960,838 207,980,419 623,941,258 311,970,629 935,911,888 467,955,944 233,977,972 116,988,986 58,494,493 175,483,480 87,741,740 43,870,870 21,935,435 65,806,306 32,903,153 98,709,460 49,354,730 24,677,365 74,032,096

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