7,719,084

2² × 3³ × 71473

7,719,084 factors as 2^2 × 3^3 × 71473. Its 24 positive divisors give a proper-divisor sum of 12,293,636, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 71473

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,012,720

Proper Divisor Sum 12,293,636

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7719067 ← → #7719109

Radix Representation

Decimal	7719084
Binary	11101011100100010101100 (23 bits)
Octal	0o35344254
Hexadecimal	0x75C8AC

Divisor Catalog (24)

Collatz Trajectory (72 steps to reach 1)

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

7,719,084 3,859,542 1,929,771 5,789,314 2,894,657 8,683,972 4,341,986 2,170,993 6,512,980 3,256,490 1,628,245 4,884,736 2,442,368 1,221,184 610,592 305,296 152,648 76,324 38,162 19,081 57,244 28,622 14,311 42,934 21,467 64,402 32,201 96,604 48,302 24,151 72,454 36,227 108,682 54,341 163,024 81,512 40,756 20,378 10,189 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227

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