4,020,865

5 × 797 × 1009

Starting at 4,020,865, the Collatz iteration reaches 1 after 167 steps. The first transition is 12062596; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 797 × 1009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,835,880

Proper Divisor Sum 815,015

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4020847 ← → #4020869

Radix Representation

Decimal	4020865
Binary	1111010101101010000001 (22 bits)
Octal	0o17255201
Hexadecimal	0x3D5A81

Divisor Catalog (8)

1 5 797 1,009 3,985 5,045 804,173 4,020,865

Collatz Trajectory (167 steps to reach 1)

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

4,020,865 12,062,596 6,031,298 3,015,649 9,046,948 4,523,474 2,261,737 6,785,212 3,392,606 1,696,303 5,088,910 2,544,455 7,633,366 3,816,683 11,450,050 5,725,025 17,175,076 8,587,538 4,293,769 12,881,308 6,440,654 3,220,327 9,660,982 4,830,491 14,491,474 7,245,737 21,737,212 10,868,606 5,434,303 16,302,910 8,151,455 24,454,366 12,227,183 36,681,550 18,340,775 55,022,326 27,511,163 82,533,490 41,266,745 123,800,236 61,900,118 30,950,059 92,850,178 46,425,089 139,275,268 69,637,634 34,818,817 104,456,452 52,228,226 26,114,113 78,342,340 39,171,170 19,585,585 58,756,756 29,378,378 14,689,189 44,067,568 22,033,784 11,016,892 5,508,446

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