λ
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8,952,986

2 × 73 × 31 × 421
Deficient Even Composite

8,952,986 factors as 2 × 7^3 × 31 × 421. Its 32 positive divisors give a proper-divisor sum of 7,251,814, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 31 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,204,800
Proper Divisor Sum 7,251,814
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #8952973 ← → #8953013

Radix Representation

Decimal 8952986
Binary 100010001001110010011010 (24 bits)
Octal 0o42116232
Hexadecimal 0x889C9A

Divisor Catalog (32)

1 2 7 14 31 49 62 98 217 343 421 434 686 842 1,519 2,947 3,038 5,894 10,633 13,051 20,629 21,266 26,102 41,258 91,357 144,403 182,714 288,806 639,499 1,278,998 4,476,493 8,952,986

Collatz Trajectory (62 steps to reach 1)

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

8,952,986 4,476,493 13,429,480 6,714,740 3,357,370 1,678,685 5,036,056 2,518,028 1,259,014 629,507 1,888,522 944,261 2,832,784 1,416,392 708,196 354,098 177,049 531,148 265,574 132,787 398,362 199,181 597,544 298,772 149,386 74,693 224,080 112,040 56,020 28,010 14,005 42,016 21,008 10,504 5,252 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8

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