3,979,501

31² × 41 × 101

Starting at 3,979,501, the Collatz iteration reaches 1 after 66 steps. The first transition is 11938504; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 31^2 × 41 × 101

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,254,012

Proper Divisor Sum 274,511

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3979499 ← → #3979511

Radix Representation

Decimal	3979501
Binary	1111001011100011101101 (22 bits)
Octal	0o17134355
Hexadecimal	0x3CB8ED

Divisor Catalog (12)

1 31 41 101 961 1,271 3,131 4,141 39,401 97,061 128,371 3,979,501

Collatz Trajectory (66 steps to reach 1)

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

3,979,501 11,938,504 5,969,252 2,984,626 1,492,313 4,476,940 2,238,470 1,119,235 3,357,706 1,678,853 5,036,560 2,518,280 1,259,140 629,570 314,785 944,356 472,178 236,089 708,268 354,134 177,067 531,202 265,601 796,804 398,402 199,201 597,604 298,802 149,401 448,204 224,102 112,051 336,154 168,077 504,232 252,116 126,058 63,029 189,088 94,544 47,272 23,636 11,818 5,909 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20

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