786,190

2 × 5 × 29 × 2711

786,190 factors as 2 × 5 × 29 × 2711. Its 16 positive divisors give a proper-divisor sum of 678,290, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 2711

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,464,480

Proper Divisor Sum 678,290

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #786179 ← → #786197

Radix Representation

Decimal	786190
Binary	10111111111100001110 (20 bits)
Octal	0o2777416
Hexadecimal	0xBFF0E

Divisor Catalog (16)

1 2 5 10 29 58 145 290 2,711 5,422 13,555 27,110 78,619 157,238 393,095 786,190

Collatz Trajectory (74 steps to reach 1)

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

786,190 393,095 1,179,286 589,643 1,768,930 884,465 2,653,396 1,326,698 663,349 1,990,048 995,024 497,512 248,756 124,378 62,189 186,568 93,284 46,642 23,321 69,964 34,982 17,491 52,474 26,237 78,712 39,356 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832

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