7,461,902

2 × 7 × 532993

Starting at 7,461,902, the Collatz iteration reaches 1 after 191 steps. The first transition is 3730951; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 532993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,791,856

Proper Divisor Sum 5,329,954

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7461869 ← → #7461941

Radix Representation

Decimal	7461902
Binary	11100011101110000001110 (23 bits)
Octal	0o34356016
Hexadecimal	0x71DC0E

Divisor Catalog (8)

1 2 7 14 532,993 1,065,986 3,730,951 7,461,902

Collatz Trajectory (191 steps to reach 1)

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

7,461,902 3,730,951 11,192,854 5,596,427 16,789,282 8,394,641 25,183,924 12,591,962 6,295,981 18,887,944 9,443,972 4,721,986 2,360,993 7,082,980 3,541,490 1,770,745 5,312,236 2,656,118 1,328,059 3,984,178 1,992,089 5,976,268 2,988,134 1,494,067 4,482,202 2,241,101 6,723,304 3,361,652 1,680,826 840,413 2,521,240 1,260,620 630,310 315,155 945,466 472,733 1,418,200 709,100 354,550 177,275 531,826 265,913 797,740 398,870 199,435 598,306 299,153 897,460 448,730 224,365 673,096 336,548 168,274 84,137 252,412 126,206 63,103 189,310 94,655 283,966

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