8,143,849

7³ × 23743

8,143,849 factors as 7^3 × 23743. Its 8 positive divisors give a proper-divisor sum of 1,353,751, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 7^3 × 23743

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,497,600

Proper Divisor Sum 1,353,751

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8143847 ← → #8143853

Radix Representation

Decimal	8143849
Binary	11111000100001111101001 (23 bits)
Octal	0o37041751
Hexadecimal	0x7C43E9

Divisor Catalog (8)

1 7 49 343 23,743 166,201 1,163,407 8,143,849

Collatz Trajectory (199 steps to reach 1)

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

8,143,849 24,431,548 12,215,774 6,107,887 18,323,662 9,161,831 27,485,494 13,742,747 41,228,242 20,614,121 61,842,364 30,921,182 15,460,591 46,381,774 23,190,887 69,572,662 34,786,331 104,358,994 52,179,497 156,538,492 78,269,246 39,134,623 117,403,870 58,701,935 176,105,806 88,052,903 264,158,710 132,079,355 396,238,066 198,119,033 594,357,100 297,178,550 148,589,275 445,767,826 222,883,913 668,651,740 334,325,870 167,162,935 501,488,806 250,744,403 752,233,210 376,116,605 1,128,349,816 564,174,908 282,087,454 141,043,727 423,131,182 211,565,591 634,696,774 317,348,387 952,045,162 476,022,581 1,428,067,744 714,033,872 357,016,936 178,508,468 89,254,234 44,627,117 133,881,352 66,940,676

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