9,324,640

2⁵ × 5 × 13 × 4483

Starting at 9,324,640, the Collatz iteration reaches 1 after 57 steps. The first transition is 4662320; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 13 × 4483

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,729,328

Proper Divisor Sum 14,404,688

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9324617 ← → #9324641

Radix Representation

Decimal	9324640
Binary	100011100100100001100000 (24 bits)
Octal	0o43444140
Hexadecimal	0x8E4860

Divisor Catalog (48)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1,040 2,080 4,483 8,966 17,932 22,415 35,864 44,830 58,279 71,728 89,660 116,558 143,456 179,320 233,116 291,395 358,640 466,232 582,790 717,280 932,464 1,165,580 1,864,928 2,331,160 4,662,320 9,324,640

Collatz Trajectory (57 steps to reach 1)

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

9,324,640 4,662,320 2,331,160 1,165,580 582,790 291,395 874,186 437,093 1,311,280 655,640 327,820 163,910 81,955 245,866 122,933 368,800 184,400 92,200 46,100 23,050 11,525 34,576 17,288 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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