3,961,273

31 × 53 × 2411

Starting at 3,961,273, the Collatz iteration reaches 1 after 229 steps. The first transition is 11883820; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 53 × 2411

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,167,936

Proper Divisor Sum 206,663

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3961271 ← → #3961283

Radix Representation

Decimal	3961273
Binary	1111000111000110111001 (22 bits)
Octal	0o17070671
Hexadecimal	0x3C71B9

Divisor Catalog (8)

1 31 53 1,643 2,411 74,741 127,783 3,961,273

Collatz Trajectory (229 steps to reach 1)

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

3,961,273 11,883,820 5,941,910 2,970,955 8,912,866 4,456,433 13,369,300 6,684,650 3,342,325 10,026,976 5,013,488 2,506,744 1,253,372 626,686 313,343 940,030 470,015 1,410,046 705,023 2,115,070 1,057,535 3,172,606 1,586,303 4,758,910 2,379,455 7,138,366 3,569,183 10,707,550 5,353,775 16,061,326 8,030,663 24,091,990 12,045,995 36,137,986 18,068,993 54,206,980 27,103,490 13,551,745 40,655,236 20,327,618 10,163,809 30,491,428 15,245,714 7,622,857 22,868,572 11,434,286 5,717,143 17,151,430 8,575,715 25,727,146 12,863,573 38,590,720 19,295,360 9,647,680 4,823,840 2,411,920 1,205,960 602,980 301,490 150,745

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