1,405,008

2⁴ × 3² × 11 × 887

For 1,405,008, the 60 positive divisors have a total of 4,294,368. Removing 1,405,008 leaves 2,889,360, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11 × 887

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 4,294,368

Proper Divisor Sum 2,889,360

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1405007 ← → #1405009

Radix Representation

Decimal	1405008
Binary	101010111000001010000 (21 bits)
Octal	0o5270120
Hexadecimal	0x157050

Divisor Catalog (60)

1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 887 1,584 1,774 2,661 3,548 5,322 7,096 7,983 9,757 10,644 14,192 15,966 19,514 21,288 29,271 31,932 39,028 42,576 58,542 63,864 78,056 87,813 117,084 127,728 156,112 175,626 234,168 351,252 468,336 702,504 1,405,008

Collatz Trajectory (124 steps to reach 1)

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

1,405,008 702,504 351,252 175,626 87,813 263,440 131,720 65,860 32,930 16,465 49,396 24,698 12,349 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

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