7,972,158

2 × 3 × 29 × 45817

Starting at 7,972,158, the Collatz iteration reaches 1 after 142 steps. The first transition is 3986079; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 45817

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,494,480

Proper Divisor Sum 8,522,322

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7972147 ← → #7972183

Radix Representation

Decimal	7972158
Binary	11110011010010100111110 (23 bits)
Octal	0o36322476
Hexadecimal	0x79A53E

Divisor Catalog (16)

1 2 3 6 29 58 87 174 45,817 91,634 137,451 274,902 1,328,693 2,657,386 3,986,079 7,972,158

Collatz Trajectory (142 steps to reach 1)

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

7,972,158 3,986,079 11,958,238 5,979,119 17,937,358 8,968,679 26,906,038 13,453,019 40,359,058 20,179,529 60,538,588 30,269,294 15,134,647 45,403,942 22,701,971 68,105,914 34,052,957 102,158,872 51,079,436 25,539,718 12,769,859 38,309,578 19,154,789 57,464,368 28,732,184 14,366,092 7,183,046 3,591,523 10,774,570 5,387,285 16,161,856 8,080,928 4,040,464 2,020,232 1,010,116 505,058 252,529 757,588 378,794 189,397 568,192 284,096 142,048 71,024 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405

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