1,001,963

17² × 3467

1,001,963 factors as 17^2 × 3467. Its 6 positive divisors give a proper-divisor sum of 62,713, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 17^2 × 3467

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,064,676

Proper Divisor Sum 62,713

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1001953 ← → #1001977

Radix Representation

Decimal	1001963
Binary	11110100100111101011 (20 bits)
Octal	0o3644753
Hexadecimal	0xF49EB

Divisor Catalog (6)

1 17 289 3,467 58,939 1,001,963

Collatz Trajectory (121 steps to reach 1)

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

1,001,963 3,005,890 1,502,945 4,508,836 2,254,418 1,127,209 3,381,628 1,690,814 845,407 2,536,222 1,268,111 3,804,334 1,902,167 5,706,502 2,853,251 8,559,754 4,279,877 12,839,632 6,419,816 3,209,908 1,604,954 802,477 2,407,432 1,203,716 601,858 300,929 902,788 451,394 225,697 677,092 338,546 169,273 507,820 253,910 126,955 380,866 190,433 571,300 285,650 142,825 428,476 214,238 107,119 321,358 160,679 482,038 241,019 723,058 361,529 1,084,588 542,294 271,147 813,442 406,721 1,220,164 610,082 305,041 915,124 457,562 228,781

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