7,243,792

2⁴ × 167 × 2711

For 7,243,792, the 20 positive divisors have a total of 14,124,096. Removing 7,243,792 leaves 6,880,304, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 167 × 2711

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 14,124,096

Proper Divisor Sum 6,880,304

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7243787 ← → #7243837

Radix Representation

Decimal	7243792
Binary	11011101000100000010000 (23 bits)
Octal	0o33504020
Hexadecimal	0x6E8810

Divisor Catalog (20)

1 2 4 8 16 167 334 668 1,336 2,672 2,711 5,422 10,844 21,688 43,376 452,737 905,474 1,810,948 3,621,896 7,243,792

Collatz Trajectory (116 steps to reach 1)

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

7,243,792 3,621,896 1,810,948 905,474 452,737 1,358,212 679,106 339,553 1,018,660 509,330 254,665 763,996 381,998 190,999 572,998 286,499 859,498 429,749 1,289,248 644,624 322,312 161,156 80,578 40,289 120,868 60,434 30,217 90,652 45,326 22,663 67,990 33,995 101,986 50,993 152,980 76,490 38,245 114,736 57,368 28,684 14,342 7,171 21,514 10,757 32,272 16,136 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666

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