λ
Math Directory

1,049,465

5 × 19 × 11047
Deficient Odd Composite

1,049,465 factors as 5 × 19 × 11047. Its 8 positive divisors give a proper-divisor sum of 276,295, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 5 × 19 × 11047
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,325,760
Proper Divisor Sum 276,295
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1049459 ← → #1049471

Radix Representation

Decimal 1049465
Binary 100000000001101111001 (21 bits)
Octal 0o4001571
Hexadecimal 0x100379

Divisor Catalog (8)

1 5 19 95 11,047 55,235 209,893 1,049,465

Collatz Trajectory (196 steps to reach 1)

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

1,049,465 3,148,396 1,574,198 787,099 2,361,298 1,180,649 3,541,948 1,770,974 885,487 2,656,462 1,328,231 3,984,694 1,992,347 5,977,042 2,988,521 8,965,564 4,482,782 2,241,391 6,724,174 3,362,087 10,086,262 5,043,131 15,129,394 7,564,697 22,694,092 11,347,046 5,673,523 17,020,570 8,510,285 25,530,856 12,765,428 6,382,714 3,191,357 9,574,072 4,787,036 2,393,518 1,196,759 3,590,278 1,795,139 5,385,418 2,692,709 8,078,128 4,039,064 2,019,532 1,009,766 504,883 1,514,650 757,325 2,271,976 1,135,988 567,994 283,997 851,992 425,996 212,998 106,499 319,498 159,749 479,248 239,624

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