238,735

5 × 7 × 19 × 359

238,735 factors as 5 × 7 × 19 × 359. Its 16 positive divisors give a proper-divisor sum of 106,865, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 5 × 7 × 19 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 345,600

Proper Divisor Sum 106,865

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #238729 ← → #238747

Radix Representation

Decimal	238735
Binary	111010010010001111 (18 bits)
Octal	0o722217
Hexadecimal	0x3A48F

Divisor Catalog (16)

1 5 7 19 35 95 133 359 665 1,795 2,513 6,821 12,565 34,105 47,747 238,735

Collatz Trajectory (119 steps to reach 1)

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

238,735 716,206 358,103 1,074,310 537,155 1,611,466 805,733 2,417,200 1,208,600 604,300 302,150 151,075 453,226 226,613 679,840 339,920 169,960 84,980 42,490 21,245 63,736 31,868 15,934 7,967 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516

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