827,203

13 × 17 × 19 × 197

For 827,203, the 16 positive divisors have a total of 997,920. Removing 827,203 leaves 170,717, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 17 × 19 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 997,920

Proper Divisor Sum 170,717

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #827161 ← → #827213

Radix Representation

Decimal	827203
Binary	11001001111101000011 (20 bits)
Octal	0o3117503
Hexadecimal	0xC9F43

Divisor Catalog (16)

1 13 17 19 197 221 247 323 2,561 3,349 3,743 4,199 43,537 48,659 63,631 827,203

Collatz Trajectory (69 steps to reach 1)

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

827,203 2,481,610 1,240,805 3,722,416 1,861,208 930,604 465,302 232,651 697,954 348,977 1,046,932 523,466 261,733 785,200 392,600 196,300 98,150 49,075 147,226 73,613 220,840 110,420 55,210 27,605 82,816 41,408 20,704 10,352 5,176 2,588 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26

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