λ
Integer Codex

1,411,374

2 × 3 × 17 × 101 × 137
Abundant Even Composite

For 1,411,374, the 32 positive divisors have a total of 3,040,416. Removing 1,411,374 leaves 1,629,042, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 101 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,040,416
Proper Divisor Sum 1,629,042
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1411369 ← → #1411387

Radix Representation

Decimal 1411374
Binary 101011000100100101110 (21 bits)
Octal 0o5304456
Hexadecimal 0x15892E

Divisor Catalog (32)

1 2 3 6 17 34 51 101 102 137 202 274 303 411 606 822 1,717 2,329 3,434 4,658 5,151 6,987 10,302 13,837 13,974 27,674 41,511 83,022 235,229 470,458 705,687 1,411,374

Collatz Trajectory (150 steps to reach 1)

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

1,411,374 705,687 2,117,062 1,058,531 3,175,594 1,587,797 4,763,392 2,381,696 1,190,848 595,424 297,712 148,856 74,428 37,214 18,607 55,822 27,911 83,734 41,867 125,602 62,801 188,404 94,202 47,101 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716

More profiles

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