1,002,617

7 × 11 × 29 × 449

For 1,002,617, the 16 positive divisors have a total of 1,296,000. Removing 1,002,617 leaves 293,383, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 11 × 29 × 449

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,296,000

Proper Divisor Sum 293,383

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1002583 ← → #1002619

Radix Representation

Decimal	1002617
Binary	11110100110001111001 (20 bits)
Octal	0o3646171
Hexadecimal	0xF4C79

Divisor Catalog (16)

1 7 11 29 77 203 319 449 2,233 3,143 4,939 13,021 34,573 91,147 143,231 1,002,617

Collatz Trajectory (90 steps to reach 1)

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

1,002,617 3,007,852 1,503,926 751,963 2,255,890 1,127,945 3,383,836 1,691,918 845,959 2,537,878 1,268,939 3,806,818 1,903,409 5,710,228 2,855,114 1,427,557 4,282,672 2,141,336 1,070,668 535,334 267,667 803,002 401,501 1,204,504 602,252 301,126 150,563 451,690 225,845 677,536 338,768 169,384 84,692 42,346 21,173 63,520 31,760 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178

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