7,462,102

2 × 199 × 18749

Starting at 7,462,102, the Collatz iteration reaches 1 after 279 steps. The first transition is 3731051; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 199 × 18749

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,250,000

Proper Divisor Sum 3,787,898

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7462057 ← → #7462111

Radix Representation

Decimal	7462102
Binary	11100011101110011010110 (23 bits)
Octal	0o34356326
Hexadecimal	0x71DCD6

Divisor Catalog (8)

1 2 199 398 18,749 37,498 3,731,051 7,462,102

Collatz Trajectory (279 steps to reach 1)

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

7,462,102 3,731,051 11,193,154 5,596,577 16,789,732 8,394,866 4,197,433 12,592,300 6,296,150 3,148,075 9,444,226 4,722,113 14,166,340 7,083,170 3,541,585 10,624,756 5,312,378 2,656,189 7,968,568 3,984,284 1,992,142 996,071 2,988,214 1,494,107 4,482,322 2,241,161 6,723,484 3,361,742 1,680,871 5,042,614 2,521,307 7,563,922 3,781,961 11,345,884 5,672,942 2,836,471 8,509,414 4,254,707 12,764,122 6,382,061 19,146,184 9,573,092 4,786,546 2,393,273 7,179,820 3,589,910 1,794,955 5,384,866 2,692,433 8,077,300 4,038,650 2,019,325 6,057,976 3,028,988 1,514,494 757,247 2,271,742 1,135,871 3,407,614 1,703,807

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