9,776,264

2³ × 179 × 6827

Starting at 9,776,264, the Collatz iteration reaches 1 after 207 steps. The first transition is 4888132; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 179 × 6827

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,435,600

Proper Divisor Sum 8,659,336

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9776257 ← → #9776281

Radix Representation

Decimal	9776264
Binary	100101010010110010001000 (24 bits)
Octal	0o45226210
Hexadecimal	0x952C88

Divisor Catalog (16)

1 2 4 8 179 358 716 1,432 6,827 13,654 27,308 54,616 1,222,033 2,444,066 4,888,132 9,776,264

Collatz Trajectory (207 steps to reach 1)

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

9,776,264 4,888,132 2,444,066 1,222,033 3,666,100 1,833,050 916,525 2,749,576 1,374,788 687,394 343,697 1,031,092 515,546 257,773 773,320 386,660 193,330 96,665 289,996 144,998 72,499 217,498 108,749 326,248 163,124 81,562 40,781 122,344 61,172 30,586 15,293 45,880 22,940 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026

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