359,727

3 × 19 × 6311

359,727 factors as 3 × 19 × 6311. Its 8 positive divisors give a proper-divisor sum of 145,233, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 3 × 19 × 6311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 504,960

Proper Divisor Sum 145,233

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #359719 ← → #359731

Radix Representation

Decimal	359727
Binary	1010111110100101111 (19 bits)
Octal	0o1276457
Hexadecimal	0x57D2F

Divisor Catalog (8)

1 3 19 57 6,311 18,933 119,909 359,727

Collatz Trajectory (197 steps to reach 1)

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

359,727 1,079,182 539,591 1,618,774 809,387 2,428,162 1,214,081 3,642,244 1,821,122 910,561 2,731,684 1,365,842 682,921 2,048,764 1,024,382 512,191 1,536,574 768,287 2,304,862 1,152,431 3,457,294 1,728,647 5,185,942 2,592,971 7,778,914 3,889,457 11,668,372 5,834,186 2,917,093 8,751,280 4,375,640 2,187,820 1,093,910 546,955 1,640,866 820,433 2,461,300 1,230,650 615,325 1,845,976 922,988 461,494 230,747 692,242 346,121 1,038,364 519,182 259,591 778,774 389,387 1,168,162 584,081 1,752,244 876,122 438,061 1,314,184 657,092 328,546 164,273 492,820

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