8,106,775

5² × 97 × 3343

8,106,775 factors as 5^2 × 97 × 3343. Its 12 positive divisors give a proper-divisor sum of 2,052,297, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 5^2 × 97 × 3343

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,159,072

Proper Divisor Sum 2,052,297

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8106767 ← → #8106797

Radix Representation

Decimal	8106775
Binary	11110111011001100010111 (23 bits)
Octal	0o36731427
Hexadecimal	0x7BB317

Divisor Catalog (12)

1 5 25 97 485 2,425 3,343 16,715 83,575 324,271 1,621,355 8,106,775

Collatz Trajectory (137 steps to reach 1)

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

8,106,775 24,320,326 12,160,163 36,480,490 18,240,245 54,720,736 27,360,368 13,680,184 6,840,092 3,420,046 1,710,023 5,130,070 2,565,035 7,695,106 3,847,553 11,542,660 5,771,330 2,885,665 8,656,996 4,328,498 2,164,249 6,492,748 3,246,374 1,623,187 4,869,562 2,434,781 7,304,344 3,652,172 1,826,086 913,043 2,739,130 1,369,565 4,108,696 2,054,348 1,027,174 513,587 1,540,762 770,381 2,311,144 1,155,572 577,786 288,893 866,680 433,340 216,670 108,335 325,006 162,503 487,510 243,755 731,266 365,633 1,096,900 548,450 274,225 822,676 411,338 205,669 617,008 308,504

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