3,101,985

3² × 5 × 29 × 2377

Starting at 3,101,985, the Collatz iteration reaches 1 after 107 steps. The first transition is 9305956; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 29 × 2377

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,564,520

Proper Divisor Sum 2,462,535

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3101971 ← → #3101999

Radix Representation

Decimal	3101985
Binary	1011110101010100100001 (22 bits)
Octal	0o13652441
Hexadecimal	0x2F5521

Divisor Catalog (24)

1 3 5 9 15 29 45 87 145 261 435 1,305 2,377 7,131 11,885 21,393 35,655 68,933 106,965 206,799 344,665 620,397 1,033,995 3,101,985

Collatz Trajectory (107 steps to reach 1)

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

3,101,985 9,305,956 4,652,978 2,326,489 6,979,468 3,489,734 1,744,867 5,234,602 2,617,301 7,851,904 3,925,952 1,962,976 981,488 490,744 245,372 122,686 61,343 184,030 92,015 276,046 138,023 414,070 207,035 621,106 310,553 931,660 465,830 232,915 698,746 349,373 1,048,120 524,060 262,030 131,015 393,046 196,523 589,570 294,785 884,356 442,178 221,089 663,268 331,634 165,817 497,452 248,726 124,363 373,090 186,545 559,636 279,818 139,909 419,728 209,864 104,932 52,466 26,233 78,700 39,350 19,675

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