9,177,604

2² × 41 × 107 × 523

Starting at 9,177,604, the Collatz iteration reaches 1 after 106 steps. The first transition is 4588802; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 41 × 107 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,638,048

Proper Divisor Sum 7,460,444

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9177599 ← → #9177607

Radix Representation

Decimal	9177604
Binary	100011000000101000000100 (24 bits)
Octal	0o43005004
Hexadecimal	0x8C0A04

Divisor Catalog (24)

1 2 4 41 82 107 164 214 428 523 1,046 2,092 4,387 8,774 17,548 21,443 42,886 55,961 85,772 111,922 223,844 2,294,401 4,588,802 9,177,604

Collatz Trajectory (106 steps to reach 1)

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

9,177,604 4,588,802 2,294,401 6,883,204 3,441,602 1,720,801 5,162,404 2,581,202 1,290,601 3,871,804 1,935,902 967,951 2,903,854 1,451,927 4,355,782 2,177,891 6,533,674 3,266,837 9,800,512 4,900,256 2,450,128 1,225,064 612,532 306,266 153,133 459,400 229,700 114,850 57,425 172,276 86,138 43,069 129,208 64,604 32,302 16,151 48,454 24,227 72,682 36,341 109,024 54,512 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706

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