8,007,982

2 × 31 × 53 × 2437

Starting at 8,007,982, the Collatz iteration reaches 1 after 261 steps. The first transition is 4003991; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 53 × 2437

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,638,592

Proper Divisor Sum 4,630,610

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8007943 ← → #8007991

Radix Representation

Decimal	8007982
Binary	11110100011000100101110 (23 bits)
Octal	0o36430456
Hexadecimal	0x7A312E

Divisor Catalog (16)

1 2 31 53 62 106 1,643 2,437 3,286 4,874 75,547 129,161 151,094 258,322 4,003,991 8,007,982

Collatz Trajectory (261 steps to reach 1)

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

8,007,982 4,003,991 12,011,974 6,005,987 18,017,962 9,008,981 27,026,944 13,513,472 6,756,736 3,378,368 1,689,184 844,592 422,296 211,148 105,574 52,787 158,362 79,181 237,544 118,772 59,386 29,693 89,080 44,540 22,270 11,135 33,406 16,703 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797

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