3,073,791

3 × 7 × 197 × 743

Starting at 3,073,791, the Collatz iteration reaches 1 after 182 steps. The first transition is 9221374; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 197 × 743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,713,984

Proper Divisor Sum 1,640,193

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3073783 ← → #3073799

Radix Representation

Decimal	3073791
Binary	1011101110011011111111 (22 bits)
Octal	0o13563377
Hexadecimal	0x2EE6FF

Divisor Catalog (16)

1 3 7 21 197 591 743 1,379 2,229 4,137 5,201 15,603 146,371 439,113 1,024,597 3,073,791

Collatz Trajectory (182 steps to reach 1)

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

3,073,791 9,221,374 4,610,687 13,832,062 6,916,031 20,748,094 10,374,047 31,122,142 15,561,071 46,683,214 23,341,607 70,024,822 35,012,411 105,037,234 52,518,617 157,555,852 78,777,926 39,388,963 118,166,890 59,083,445 177,250,336 88,625,168 44,312,584 22,156,292 11,078,146 5,539,073 16,617,220 8,308,610 4,154,305 12,462,916 6,231,458 3,115,729 9,347,188 4,673,594 2,336,797 7,010,392 3,505,196 1,752,598 876,299 2,628,898 1,314,449 3,943,348 1,971,674 985,837 2,957,512 1,478,756 739,378 369,689 1,109,068 554,534 277,267 831,802 415,901 1,247,704 623,852 311,926 155,963 467,890 233,945 701,836

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