7,512,216

2³ × 3 × 313009

7,512,216 has digital root 6. The neighboring primes are 7512209 and 7512217; its proper-divisor sum differs from the starting integer by 3,756,168.

Prime Factor Structure

Factorization String 2^3 × 3 × 313009

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,780,600

Proper Divisor Sum 11,268,384

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7512209 ← → #7512217

Radix Representation

Decimal	7512216
Binary	11100101010000010011000 (23 bits)
Octal	0o34520230
Hexadecimal	0x72A098

Divisor Catalog (16)

1 2 3 4 6 8 12 24 313,009 626,018 939,027 1,252,036 1,878,054 2,504,072 3,756,108 7,512,216

Collatz Trajectory (85 steps to reach 1)

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

7,512,216 3,756,108 1,878,054 939,027 2,817,082 1,408,541 4,225,624 2,112,812 1,056,406 528,203 1,584,610 792,305 2,376,916 1,188,458 594,229 1,782,688 891,344 445,672 222,836 111,418 55,709 167,128 83,564 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324

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