968,135

5 × 7 × 139 × 199

968,135 factors as 5 × 7 × 139 × 199. Its 16 positive divisors give a proper-divisor sum of 375,865, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 5 × 7 × 139 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,344,000

Proper Divisor Sum 375,865

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #968117 ← → #968137

Radix Representation

Decimal	968135
Binary	11101100010111000111 (20 bits)
Octal	0o3542707
Hexadecimal	0xEC5C7

Divisor Catalog (16)

1 5 7 35 139 199 695 973 995 1,393 4,865 6,965 27,661 138,305 193,627 968,135

Collatz Trajectory (95 steps to reach 1)

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

968,135 2,904,406 1,452,203 4,356,610 2,178,305 6,534,916 3,267,458 1,633,729 4,901,188 2,450,594 1,225,297 3,675,892 1,837,946 918,973 2,756,920 1,378,460 689,230 344,615 1,033,846 516,923 1,550,770 775,385 2,326,156 1,163,078 581,539 1,744,618 872,309 2,616,928 1,308,464 654,232 327,116 163,558 81,779 245,338 122,669 368,008 184,004 92,002 46,001 138,004 69,002 34,501 103,504 51,752 25,876 12,938 6,469 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025

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