7,404,682

2 × 41 × 73 × 1237

Starting at 7,404,682, the Collatz iteration reaches 1 after 173 steps. The first transition is 3702341; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 41 × 73 × 1237

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,543,112

Proper Divisor Sum 4,138,430

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7404659 ← → #7404731

Radix Representation

Decimal	7404682
Binary	11100001111110010001010 (23 bits)
Octal	0o34176212
Hexadecimal	0x70FC8A

Divisor Catalog (16)

1 2 41 73 82 146 1,237 2,474 2,993 5,986 50,717 90,301 101,434 180,602 3,702,341 7,404,682

Collatz Trajectory (173 steps to reach 1)

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

7,404,682 3,702,341 11,107,024 5,553,512 2,776,756 1,388,378 694,189 2,082,568 1,041,284 520,642 260,321 780,964 390,482 195,241 585,724 292,862 146,431 439,294 219,647 658,942 329,471 988,414 494,207 1,482,622 741,311 2,223,934 1,111,967 3,335,902 1,667,951 5,003,854 2,501,927 7,505,782 3,752,891 11,258,674 5,629,337 16,888,012 8,444,006 4,222,003 12,666,010 6,333,005 18,999,016 9,499,508 4,749,754 2,374,877 7,124,632 3,562,316 1,781,158 890,579 2,671,738 1,335,869 4,007,608 2,003,804 1,001,902 500,951 1,502,854 751,427 2,254,282 1,127,141 3,381,424 1,690,712

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