7,478,674

2 × 7² × 17 × 67²

For 7,478,674, the 36 positive divisors have a total of 14,026,446. Removing 7,478,674 leaves 6,547,772, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7^2 × 17 × 67^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,026,446

Proper Divisor Sum 6,547,772

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7478651 ← → #7478677

Radix Representation

Decimal	7478674
Binary	11100100001110110010010 (23 bits)
Octal	0o34416622
Hexadecimal	0x721D92

Divisor Catalog (36)

1 2 7 14 17 34 49 67 98 119 134 238 469 833 938 1,139 1,666 2,278 3,283 4,489 6,566 7,973 8,978 15,946 31,423 55,811 62,846 76,313 111,622 152,626 219,961 439,922 534,191 1,068,382 3,739,337 7,478,674

Collatz Trajectory (173 steps to reach 1)

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

7,478,674 3,739,337 11,218,012 5,609,006 2,804,503 8,413,510 4,206,755 12,620,266 6,310,133 18,930,400 9,465,200 4,732,600 2,366,300 1,183,150 591,575 1,774,726 887,363 2,662,090 1,331,045 3,993,136 1,996,568 998,284 499,142 249,571 748,714 374,357 1,123,072 561,536 280,768 140,384 70,192 35,096 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322

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