1,046,591

7² × 13 × 31 × 53

1,046,591 is odd and not a perfect square. Its factorization is 7^2 × 13 × 31 × 53 and its 24 divisors sum to 1,378,944.

Prime Factor Structure

Factorization String 7^2 × 13 × 31 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,378,944

Proper Divisor Sum 332,353

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1046587 ← → #1046597

Radix Representation

Decimal	1046591
Binary	11111111100000111111 (20 bits)
Octal	0o3774077
Hexadecimal	0xFF83F

Divisor Catalog (24)

1 7 13 31 49 53 91 217 371 403 637 689 1,519 1,643 2,597 2,821 4,823 11,501 19,747 21,359 33,761 80,507 149,513 1,046,591

Collatz Trajectory (152 steps to reach 1)

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

1,046,591 3,139,774 1,569,887 4,709,662 2,354,831 7,064,494 3,532,247 10,596,742 5,298,371 15,895,114 7,947,557 23,842,672 11,921,336 5,960,668 2,980,334 1,490,167 4,470,502 2,235,251 6,705,754 3,352,877 10,058,632 5,029,316 2,514,658 1,257,329 3,771,988 1,885,994 942,997 2,828,992 1,414,496 707,248 353,624 176,812 88,406 44,203 132,610 66,305 198,916 99,458 49,729 149,188 74,594 37,297 111,892 55,946 27,973 83,920 41,960 20,980 10,490 5,245 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641

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