7,989,010

2 × 5 × 31 × 25771

Starting at 7,989,010, the Collatz iteration reaches 1 after 116 steps. The first transition is 3994505; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 25771

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,844,672

Proper Divisor Sum 6,855,662

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7988993 ← → #7989011

Radix Representation

Decimal	7989010
Binary	11110011110011100010010 (23 bits)
Octal	0o36363422
Hexadecimal	0x79E712

Divisor Catalog (16)

1 2 5 10 31 62 155 310 25,771 51,542 128,855 257,710 798,901 1,597,802 3,994,505 7,989,010

Collatz Trajectory (116 steps to reach 1)

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

7,989,010 3,994,505 11,983,516 5,991,758 2,995,879 8,987,638 4,493,819 13,481,458 6,740,729 20,222,188 10,111,094 5,055,547 15,166,642 7,583,321 22,749,964 11,374,982 5,687,491 17,062,474 8,531,237 25,593,712 12,796,856 6,398,428 3,199,214 1,599,607 4,798,822 2,399,411 7,198,234 3,599,117 10,797,352 5,398,676 2,699,338 1,349,669 4,049,008 2,024,504 1,012,252 506,126 253,063 759,190 379,595 1,138,786 569,393 1,708,180 854,090 427,045 1,281,136 640,568 320,284 160,142 80,071 240,214 120,107 360,322 180,161 540,484 270,242 135,121 405,364 202,682 101,341 304,024

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