7,841,641

17 × 461273

Starting at 7,841,641, the Collatz iteration reaches 1 after 155 steps. The first transition is 23524924; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 17 × 461273

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,302,932

Proper Divisor Sum 461,291

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7841627 ← → #7841651

Radix Representation

Decimal	7841641
Binary	11101111010011101101001 (23 bits)
Octal	0o35723551
Hexadecimal	0x77A769

Divisor Catalog (4)

1 17 461,273 7,841,641

Collatz Trajectory (155 steps to reach 1)

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

7,841,641 23,524,924 11,762,462 5,881,231 17,643,694 8,821,847 26,465,542 13,232,771 39,698,314 19,849,157 59,547,472 29,773,736 14,886,868 7,443,434 3,721,717 11,165,152 5,582,576 2,791,288 1,395,644 697,822 348,911 1,046,734 523,367 1,570,102 785,051 2,355,154 1,177,577 3,532,732 1,766,366 883,183 2,649,550 1,324,775 3,974,326 1,987,163 5,961,490 2,980,745 8,942,236 4,471,118 2,235,559 6,706,678 3,353,339 10,060,018 5,030,009 15,090,028 7,545,014 3,772,507 11,317,522 5,658,761 16,976,284 8,488,142 4,244,071 12,732,214 6,366,107 19,098,322 9,549,161 28,647,484 14,323,742 7,161,871 21,485,614 10,742,807

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