λ
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Atlas › Integer Profiles › Node 8,808,686

8,808,686

2 × 17 × 41 × 71 × 89
Deficient Even Composite

8,808,686 factors as 2 × 17 × 41 × 71 × 89. Its 32 positive divisors give a proper-divisor sum of 5,887,954, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2 × 17 × 41 × 71 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,696,640
Proper Divisor Sum 5,887,954
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8808673 ← → #8808733

Radix Representation

Decimal 8808686
Binary 100001100110100011101110 (24 bits)
Octal 0o41464356
Hexadecimal 0x8668EE

Divisor Catalog (32)

1 2 17 34 41 71 82 89 142 178 697 1,207 1,394 1,513 2,414 2,911 3,026 3,649 5,822 6,319 7,298 12,638 49,487 62,033 98,974 107,423 124,066 214,846 259,079 518,158 4,404,343 8,808,686

Collatz Trajectory (212 steps to reach 1)

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

8,808,686 4,404,343 13,213,030 6,606,515 19,819,546 9,909,773 29,729,320 14,864,660 7,432,330 3,716,165 11,148,496 5,574,248 2,787,124 1,393,562 696,781 2,090,344 1,045,172 522,586 261,293 783,880 391,940 195,970 97,985 293,956 146,978 73,489 220,468 110,234 55,117 165,352 82,676 41,338 20,669 62,008 31,004 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888

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