9,846,416

2⁴ × 615401

Starting at 9,846,416, the Collatz iteration reaches 1 after 238 steps. The first transition is 4923208; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 615401

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 19,077,462

Proper Divisor Sum 9,231,046

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9846413 ← → #9846439

Radix Representation

Decimal	9846416
Binary	100101100011111010010000 (24 bits)
Octal	0o45437220
Hexadecimal	0x963E90

Divisor Catalog (10)

1 2 4 8 16 615,401 1,230,802 2,461,604 4,923,208 9,846,416

Collatz Trajectory (238 steps to reach 1)

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

9,846,416 4,923,208 2,461,604 1,230,802 615,401 1,846,204 923,102 461,551 1,384,654 692,327 2,076,982 1,038,491 3,115,474 1,557,737 4,673,212 2,336,606 1,168,303 3,504,910 1,752,455 5,257,366 2,628,683 7,886,050 3,943,025 11,829,076 5,914,538 2,957,269 8,871,808 4,435,904 2,217,952 1,108,976 554,488 277,244 138,622 69,311 207,934 103,967 311,902 155,951 467,854 233,927 701,782 350,891 1,052,674 526,337 1,579,012 789,506 394,753 1,184,260 592,130 296,065 888,196 444,098 222,049 666,148 333,074 166,537 499,612 249,806 124,903 374,710

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