7,393,080

2³ × 3 × 5 × 61609

Starting at 7,393,080, the Collatz iteration reaches 1 after 173 steps. The first transition is 3696540; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 61609

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 22,179,600

Proper Divisor Sum 14,786,520

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7393069 ← → #7393091

Radix Representation

Decimal	7393080
Binary	11100001100111100111000 (23 bits)
Octal	0o34147470
Hexadecimal	0x70CF38

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 61,609 123,218 184,827 246,436 308,045 369,654 492,872 616,090 739,308 924,135 1,232,180 1,478,616 1,848,270 2,464,360 3,696,540 7,393,080

Collatz Trajectory (173 steps to reach 1)

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

7,393,080 3,696,540 1,848,270 924,135 2,772,406 1,386,203 4,158,610 2,079,305 6,237,916 3,118,958 1,559,479 4,678,438 2,339,219 7,017,658 3,508,829 10,526,488 5,263,244 2,631,622 1,315,811 3,947,434 1,973,717 5,921,152 2,960,576 1,480,288 740,144 370,072 185,036 92,518 46,259 138,778 69,389 208,168 104,084 52,042 26,021 78,064 39,032 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218

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