7,791,945

3 × 5 × 7 × 74209

For 7,791,945, the 16 positive divisors have a total of 14,248,320. Removing 7,791,945 leaves 6,456,375, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 74209

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,248,320

Proper Divisor Sum 6,456,375

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7791929 ← → #7791961

Radix Representation

Decimal	7791945
Binary	11101101110010101001001 (23 bits)
Octal	0o35562511
Hexadecimal	0x76E549

Divisor Catalog (16)

1 3 5 7 15 21 35 105 74,209 222,627 371,045 519,463 1,113,135 1,558,389 2,597,315 7,791,945

Collatz Trajectory (160 steps to reach 1)

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

7,791,945 23,375,836 11,687,918 5,843,959 17,531,878 8,765,939 26,297,818 13,148,909 39,446,728 19,723,364 9,861,682 4,930,841 14,792,524 7,396,262 3,698,131 11,094,394 5,547,197 16,641,592 8,320,796 4,160,398 2,080,199 6,240,598 3,120,299 9,360,898 4,680,449 14,041,348 7,020,674 3,510,337 10,531,012 5,265,506 2,632,753 7,898,260 3,949,130 1,974,565 5,923,696 2,961,848 1,480,924 740,462 370,231 1,110,694 555,347 1,666,042 833,021 2,499,064 1,249,532 624,766 312,383 937,150 468,575 1,405,726 702,863 2,108,590 1,054,295 3,162,886 1,581,443 4,744,330 2,372,165 7,116,496 3,558,248 1,779,124

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