7,378,675

5² × 71 × 4157

Starting at 7,378,675, the Collatz iteration reaches 1 after 85 steps. The first transition is 22136026; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 71 × 4157

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,280,656

Proper Divisor Sum 1,901,981

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7378661 ← → #7378687

Radix Representation

Decimal	7378675
Binary	11100001001011011110011 (23 bits)
Octal	0o34113363
Hexadecimal	0x7096F3

Divisor Catalog (12)

1 5 25 71 355 1,775 4,157 20,785 103,925 295,147 1,475,735 7,378,675

Collatz Trajectory (85 steps to reach 1)

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

7,378,675 22,136,026 11,068,013 33,204,040 16,602,020 8,301,010 4,150,505 12,451,516 6,225,758 3,112,879 9,338,638 4,669,319 14,007,958 7,003,979 21,011,938 10,505,969 31,517,908 15,758,954 7,879,477 23,638,432 11,819,216 5,909,608 2,954,804 1,477,402 738,701 2,216,104 1,108,052 554,026 277,013 831,040 415,520 207,760 103,880 51,940 25,970 12,985 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217

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