7,315,638

2 × 3 × 11 × 199 × 557

7,315,638 has digital root 6. The neighboring primes are 7315631 and 7315657; its proper-divisor sum differs from the starting integer by 1,439,124.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 199 × 557

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,070,400

Proper Divisor Sum 8,754,762

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7315631 ← → #7315657

Radix Representation

Decimal	7315638
Binary	11011111010000010110110 (23 bits)
Octal	0o33720266
Hexadecimal	0x6FA0B6

Divisor Catalog (32)

1 2 3 6 11 22 33 66 199 398 557 597 1,114 1,194 1,671 2,189 3,342 4,378 6,127 6,567 12,254 13,134 18,381 36,762 110,843 221,686 332,529 665,058 1,219,273 2,438,546 3,657,819 7,315,638

Collatz Trajectory (142 steps to reach 1)

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

7,315,638 3,657,819 10,973,458 5,486,729 16,460,188 8,230,094 4,115,047 12,345,142 6,172,571 18,517,714 9,258,857 27,776,572 13,888,286 6,944,143 20,832,430 10,416,215 31,248,646 15,624,323 46,872,970 23,436,485 70,309,456 35,154,728 17,577,364 8,788,682 4,394,341 13,183,024 6,591,512 3,295,756 1,647,878 823,939 2,471,818 1,235,909 3,707,728 1,853,864 926,932 463,466 231,733 695,200 347,600 173,800 86,900 43,450 21,725 65,176 32,588 16,294 8,147 24,442 12,221 36,664 18,332 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735

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