5,978,967

3 × 1231 × 1619

Starting at 5,978,967, the Collatz iteration reaches 1 after 214 steps. The first transition is 17936902; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 1231 × 1619

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,983,360

Proper Divisor Sum 2,004,393

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #5978933 ← → #5978993

Radix Representation

Decimal	5978967
Binary	10110110011101101010111 (23 bits)
Octal	0o26635527
Hexadecimal	0x5B3B57

Divisor Catalog (8)

1 3 1,231 1,619 3,693 4,857 1,992,989 5,978,967

Collatz Trajectory (214 steps to reach 1)

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

5,978,967 17,936,902 8,968,451 26,905,354 13,452,677 40,358,032 20,179,016 10,089,508 5,044,754 2,522,377 7,567,132 3,783,566 1,891,783 5,675,350 2,837,675 8,513,026 4,256,513 12,769,540 6,384,770 3,192,385 9,577,156 4,788,578 2,394,289 7,182,868 3,591,434 1,795,717 5,387,152 2,693,576 1,346,788 673,394 336,697 1,010,092 505,046 252,523 757,570 378,785 1,136,356 568,178 284,089 852,268 426,134 213,067 639,202 319,601 958,804 479,402 239,701 719,104 359,552 179,776 89,888 44,944 22,472 11,236 5,618 2,809 8,428 4,214 2,107 6,322

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