6,972,138

2 × 3² × 387341

6,972,138 factors as 2 × 3^2 × 387341. Its 12 positive divisors give a proper-divisor sum of 8,134,200, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 387341

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,106,338

Proper Divisor Sum 8,134,200

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6972127 ← → #6972233

Radix Representation

Decimal	6972138
Binary	11010100110001011101010 (23 bits)
Octal	0o32461352
Hexadecimal	0x6A62EA

Divisor Catalog (12)

1 2 3 6 9 18 387,341 774,682 1,162,023 2,324,046 3,486,069 6,972,138

Collatz Trajectory (191 steps to reach 1)

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

6,972,138 3,486,069 10,458,208 5,229,104 2,614,552 1,307,276 653,638 326,819 980,458 490,229 1,470,688 735,344 367,672 183,836 91,918 45,959 137,878 68,939 206,818 103,409 310,228 155,114 77,557 232,672 116,336 58,168 29,084 14,542 7,271 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372

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