9,176,900

2² × 5² × 163 × 563

Starting at 9,176,900, the Collatz iteration reaches 1 after 106 steps. The first transition is 4588450; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 163 × 563

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 20,071,632

Proper Divisor Sum 10,894,732

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9176887 ← → #9176911

Radix Representation

Decimal	9176900
Binary	100011000000011101000100 (24 bits)
Octal	0o43003504
Hexadecimal	0x8C0744

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 163 326 563 652 815 1,126 1,630 2,252 2,815 3,260 4,075 5,630 8,150 11,260 14,075 16,300 28,150 56,300 91,769 183,538 367,076 458,845 917,690 1,835,380 2,294,225 4,588,450 9,176,900

Collatz Trajectory (106 steps to reach 1)

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

9,176,900 4,588,450 2,294,225 6,882,676 3,441,338 1,720,669 5,162,008 2,581,004 1,290,502 645,251 1,935,754 967,877 2,903,632 1,451,816 725,908 362,954 181,477 544,432 272,216 136,108 68,054 34,027 102,082 51,041 153,124 76,562 38,281 114,844 57,422 28,711 86,134 43,067 129,202 64,601 193,804 96,902 48,451 145,354 72,677 218,032 109,016 54,508 27,254 13,627 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618

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