7,960,846

2 × 37 × 179 × 601

Starting at 7,960,846, the Collatz iteration reaches 1 after 124 steps. The first transition is 3980423; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 37 × 179 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,353,040

Proper Divisor Sum 4,392,194

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7960837 ← → #7960853

Radix Representation

Decimal	7960846
Binary	11110010111100100001110 (23 bits)
Octal	0o36274416
Hexadecimal	0x79790E

Divisor Catalog (16)

1 2 37 74 179 358 601 1,202 6,623 13,246 22,237 44,474 107,579 215,158 3,980,423 7,960,846

Collatz Trajectory (124 steps to reach 1)

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

7,960,846 3,980,423 11,941,270 5,970,635 17,911,906 8,955,953 26,867,860 13,433,930 6,716,965 20,150,896 10,075,448 5,037,724 2,518,862 1,259,431 3,778,294 1,889,147 5,667,442 2,833,721 8,501,164 4,250,582 2,125,291 6,375,874 3,187,937 9,563,812 4,781,906 2,390,953 7,172,860 3,586,430 1,793,215 5,379,646 2,689,823 8,069,470 4,034,735 12,104,206 6,052,103 18,156,310 9,078,155 27,234,466 13,617,233 40,851,700 20,425,850 10,212,925 30,638,776 15,319,388 7,659,694 3,829,847 11,489,542 5,744,771 17,234,314 8,617,157 25,851,472 12,925,736 6,462,868 3,231,434 1,615,717 4,847,152 2,423,576 1,211,788 605,894 302,947

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