1,007,678

2 × 7 × 167 × 431

For 1,007,678, the 16 positive divisors have a total of 1,741,824. Removing 1,007,678 leaves 734,146, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 167 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,741,824

Proper Divisor Sum 734,146

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1007651 ← → #1007681

Radix Representation

Decimal	1007678
Binary	11110110000000111110 (20 bits)
Octal	0o3660076
Hexadecimal	0xF603E

Divisor Catalog (16)

1 2 7 14 167 334 431 862 1,169 2,338 3,017 6,034 71,977 143,954 503,839 1,007,678

Collatz Trajectory (95 steps to reach 1)

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

1,007,678 503,839 1,511,518 755,759 2,267,278 1,133,639 3,400,918 1,700,459 5,101,378 2,550,689 7,652,068 3,826,034 1,913,017 5,739,052 2,869,526 1,434,763 4,304,290 2,152,145 6,456,436 3,228,218 1,614,109 4,842,328 2,421,164 1,210,582 605,291 1,815,874 907,937 2,723,812 1,361,906 680,953 2,042,860 1,021,430 510,715 1,532,146 766,073 2,298,220 1,149,110 574,555 1,723,666 861,833 2,585,500 1,292,750 646,375 1,939,126 969,563 2,908,690 1,454,345 4,363,036 2,181,518 1,090,759 3,272,278 1,636,139 4,908,418 2,454,209 7,362,628 3,681,314 1,840,657 5,521,972 2,760,986 1,380,493

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