λ
Integer Codex

8,317,601

8317601
Deficient Odd Prime

For 8,317,601, the 2 positive divisors have a total of 8,317,602. Removing 8,317,601 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8317601
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,317,602
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8317571 ← → #8317609

Radix Representation

Decimal 8317601
Binary 11111101110101010100001 (23 bits)
Octal 0o37565241
Hexadecimal 0x7EEAA1

Divisor Catalog (2)

Collatz Trajectory (137 steps to reach 1)

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

8,317,601 24,952,804 12,476,402 6,238,201 18,714,604 9,357,302 4,678,651 14,035,954 7,017,977 21,053,932 10,526,966 5,263,483 15,790,450 7,895,225 23,685,676 11,842,838 5,921,419 17,764,258 8,882,129 26,646,388 13,323,194 6,661,597 19,984,792 9,992,396 4,996,198 2,498,099 7,494,298 3,747,149 11,241,448 5,620,724 2,810,362 1,405,181 4,215,544 2,107,772 1,053,886 526,943 1,580,830 790,415 2,371,246 1,185,623 3,556,870 1,778,435 5,335,306 2,667,653 8,002,960 4,001,480 2,000,740 1,000,370 500,185 1,500,556 750,278 375,139 1,125,418 562,709 1,688,128 844,064 422,032 211,016 105,508 52,754

More profiles

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