λ
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Atlas › Integer Profiles › Node 1,007,454

1,007,454

2 × 3 × 7 × 172 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17^2 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,475,648
Proper Divisor Sum 1,468,194
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1007441 ← → #1007459

Radix Representation

Decimal 1007454
Binary 11110101111101011110 (20 bits)
Octal 0o3657536
Hexadecimal 0xF5F5E

Divisor Catalog (48)

1 2 3 6 7 14 17 21 34 42 51 83 102 119 166 238 249 289 357 498 578 581 714 867 1,162 1,411 1,734 1,743 2,023 2,822 3,486 4,046 4,233 6,069 8,466 9,877 12,138 19,754 23,987 29,631 47,974 59,262 71,961 143,922 167,909 335,818 503,727 1,007,454

Collatz Trajectory (59 steps to reach 1)

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

1,007,454 503,727 1,511,182 755,591 2,266,774 1,133,387 3,400,162 1,700,081 5,100,244 2,550,122 1,275,061 3,825,184 1,912,592 956,296 478,148 239,074 119,537 358,612 179,306 89,653 268,960 134,480 67,240 33,620 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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