7,346,762

2 × 137 × 26813

Starting at 7,346,762, the Collatz iteration reaches 1 after 173 steps. The first transition is 3673381; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 137 × 26813

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,100,996

Proper Divisor Sum 3,754,234

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7346761 ← → #7346767

Radix Representation

Decimal	7346762
Binary	11100000001101001001010 (23 bits)
Octal	0o34015112
Hexadecimal	0x701A4A

Divisor Catalog (8)

1 2 137 274 26,813 53,626 3,673,381 7,346,762

Collatz Trajectory (173 steps to reach 1)

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

7,346,762 3,673,381 11,020,144 5,510,072 2,755,036 1,377,518 688,759 2,066,278 1,033,139 3,099,418 1,549,709 4,649,128 2,324,564 1,162,282 581,141 1,743,424 871,712 435,856 217,928 108,964 54,482 27,241 81,724 40,862 20,431 61,294 30,647 91,942 45,971 137,914 68,957 206,872 103,436 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769

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