5,100,946

2 × 89 × 28657

Starting at 5,100,946, the Collatz iteration reaches 1 after 82 steps. The first transition is 2550473; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 89 × 28657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,737,660

Proper Divisor Sum 2,636,714

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5100943 ← → #5100959

Radix Representation

Decimal	5100946
Binary	10011011101010110010010 (23 bits)
Octal	0o23352622
Hexadecimal	0x4DD592

Divisor Catalog (8)

1 2 89 178 28,657 57,314 2,550,473 5,100,946

Collatz Trajectory (82 steps to reach 1)

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

5,100,946 2,550,473 7,651,420 3,825,710 1,912,855 5,738,566 2,869,283 8,607,850 4,303,925 12,911,776 6,455,888 3,227,944 1,613,972 806,986 403,493 1,210,480 605,240 302,620 151,310 75,655 226,966 113,483 340,450 170,225 510,676 255,338 127,669 383,008 191,504 95,752 47,876 23,938 11,969 35,908 17,954 8,977 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25

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