8,876,516

2² × 11 × 17 × 11867

Starting at 8,876,516, the Collatz iteration reaches 1 after 168 steps. The first transition is 4438258; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 11867

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,944,416

Proper Divisor Sum 9,067,900

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8876503 ← → #8876531

Radix Representation

Decimal	8876516
Binary	100001110111000111100100 (24 bits)
Octal	0o41670744
Hexadecimal	0x8771E4

Divisor Catalog (24)

1 2 4 11 17 22 34 44 68 187 374 748 11,867 23,734 47,468 130,537 201,739 261,074 403,478 522,148 806,956 2,219,129 4,438,258 8,876,516

Collatz Trajectory (168 steps to reach 1)

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

8,876,516 4,438,258 2,219,129 6,657,388 3,328,694 1,664,347 4,993,042 2,496,521 7,489,564 3,744,782 1,872,391 5,617,174 2,808,587 8,425,762 4,212,881 12,638,644 6,319,322 3,159,661 9,478,984 4,739,492 2,369,746 1,184,873 3,554,620 1,777,310 888,655 2,665,966 1,332,983 3,998,950 1,999,475 5,998,426 2,999,213 8,997,640 4,498,820 2,249,410 1,124,705 3,374,116 1,687,058 843,529 2,530,588 1,265,294 632,647 1,897,942 948,971 2,846,914 1,423,457 4,270,372 2,135,186 1,067,593 3,202,780 1,601,390 800,695 2,402,086 1,201,043 3,603,130 1,801,565 5,404,696 2,702,348 1,351,174 675,587 2,026,762

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