830,552

2³ × 17 × 31 × 197

830,552 has digital root 5. The neighboring primes are 830551 and 830561; its proper-divisor sum differs from the starting integer by 49,616.

Prime Factor Structure

Factorization String 2^3 × 17 × 31 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,710,720

Proper Divisor Sum 880,168

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #830551 ← → #830561

Radix Representation

Decimal	830552
Binary	11001010110001011000 (20 bits)
Octal	0o3126130
Hexadecimal	0xCAC58

Divisor Catalog (32)

1 2 4 8 17 31 34 62 68 124 136 197 248 394 527 788 1,054 1,576 2,108 3,349 4,216 6,107 6,698 12,214 13,396 24,428 26,792 48,856 103,819 207,638 415,276 830,552

Collatz Trajectory (175 steps to reach 1)

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

830,552 415,276 207,638 103,819 311,458 155,729 467,188 233,594 116,797 350,392 175,196 87,598 43,799 131,398 65,699 197,098 98,549 295,648 147,824 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881

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