λ
Integer Codex

8,709,677

8709677
Deficient Odd Prime

For 8,709,677, the 2 positive divisors have a total of 8,709,678. Removing 8,709,677 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8709677
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,709,678
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8709653 ← → #8709697

Radix Representation

Decimal 8709677
Binary 100001001110011000101101 (24 bits)
Octal 0o41163055
Hexadecimal 0x84E62D

Divisor Catalog (2)

Collatz Trajectory (181 steps to reach 1)

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

8,709,677 26,129,032 13,064,516 6,532,258 3,266,129 9,798,388 4,899,194 2,449,597 7,348,792 3,674,396 1,837,198 918,599 2,755,798 1,377,899 4,133,698 2,066,849 6,200,548 3,100,274 1,550,137 4,650,412 2,325,206 1,162,603 3,487,810 1,743,905 5,231,716 2,615,858 1,307,929 3,923,788 1,961,894 980,947 2,942,842 1,471,421 4,414,264 2,207,132 1,103,566 551,783 1,655,350 827,675 2,483,026 1,241,513 3,724,540 1,862,270 931,135 2,793,406 1,396,703 4,190,110 2,095,055 6,285,166 3,142,583 9,427,750 4,713,875 14,141,626 7,070,813 21,212,440 10,606,220 5,303,110 2,651,555 7,954,666 3,977,333 11,932,000

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