9,753,410

2 × 5 × 17 × 57373

Starting at 9,753,410, the Collatz iteration reaches 1 after 88 steps. The first transition is 4876705; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 57373

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,589,176

Proper Divisor Sum 8,835,766

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9753409 ← → #9753433

Radix Representation

Decimal	9753410
Binary	100101001101001101000010 (24 bits)
Octal	0o45151502
Hexadecimal	0x94D342

Divisor Catalog (16)

1 2 5 10 17 34 85 170 57,373 114,746 286,865 573,730 975,341 1,950,682 4,876,705 9,753,410

Collatz Trajectory (88 steps to reach 1)

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

9,753,410 4,876,705 14,630,116 7,315,058 3,657,529 10,972,588 5,486,294 2,743,147 8,229,442 4,114,721 12,344,164 6,172,082 3,086,041 9,258,124 4,629,062 2,314,531 6,943,594 3,471,797 10,415,392 5,207,696 2,603,848 1,301,924 650,962 325,481 976,444 488,222 244,111 732,334 366,167 1,098,502 549,251 1,647,754 823,877 2,471,632 1,235,816 617,908 308,954 154,477 463,432 231,716 115,858 57,929 173,788 86,894 43,447 130,342 65,171 195,514 97,757 293,272 146,636 73,318 36,659 109,978 54,989 164,968 82,484 41,242 20,621 61,864

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