9,841,728

2⁶ × 3 × 13 × 3943

Starting at 9,841,728, the Collatz iteration reaches 1 after 207 steps. The first transition is 4920864; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 13 × 3943

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 28,049,728

Proper Divisor Sum 18,208,000

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9841721 ← → #9841739

Radix Representation

Decimal	9841728
Binary	100101100010110001000000 (24 bits)
Octal	0o45426100
Hexadecimal	0x962C40

Divisor Catalog (56)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1,248 2,496 3,943 7,886 11,829 15,772 23,658 31,544 47,316 51,259 63,088 94,632 102,518 126,176 153,777 189,264 205,036 252,352 307,554 378,528 410,072 615,108 757,056 820,144 1,230,216 1,640,288 2,460,432 3,280,576 4,920,864 9,841,728

Collatz Trajectory (207 steps to reach 1)

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

9,841,728 4,920,864 2,460,432 1,230,216 615,108 307,554 153,777 461,332 230,666 115,333 346,000 173,000 86,500 43,250 21,625 64,876 32,438 16,219 48,658 24,329 72,988 36,494 18,247 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243 249,730 124,865 374,596

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