9,753,928

2³ × 1219241

Starting at 9,753,928, the Collatz iteration reaches 1 after 176 steps. The first transition is 4876964; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1219241

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 18,288,630

Proper Divisor Sum 8,534,702

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9753917 ← → #9753929

Radix Representation

Decimal	9753928
Binary	100101001101010101001000 (24 bits)
Octal	0o45152510
Hexadecimal	0x94D548

Divisor Catalog (8)

1 2 4 8 1,219,241 2,438,482 4,876,964 9,753,928

Collatz Trajectory (176 steps to reach 1)

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

9,753,928 4,876,964 2,438,482 1,219,241 3,657,724 1,828,862 914,431 2,743,294 1,371,647 4,114,942 2,057,471 6,172,414 3,086,207 9,258,622 4,629,311 13,887,934 6,943,967 20,831,902 10,415,951 31,247,854 15,623,927 46,871,782 23,435,891 70,307,674 35,153,837 105,461,512 52,730,756 26,365,378 13,182,689 39,548,068 19,774,034 9,887,017 29,661,052 14,830,526 7,415,263 22,245,790 11,122,895 33,368,686 16,684,343 50,053,030 25,026,515 75,079,546 37,539,773 112,619,320 56,309,660 28,154,830 14,077,415 42,232,246 21,116,123 63,348,370 31,674,185 95,022,556 47,511,278 23,755,639 71,266,918 35,633,459 106,900,378 53,450,189 160,350,568 80,175,284

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