278,565

3 × 5 × 7² × 379

278,565 factors as 3 × 5 × 7^2 × 379. Its 24 positive divisors give a proper-divisor sum of 241,275, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 519,840

Proper Divisor Sum 241,275

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #278563 ← → #278581

Radix Representation

Decimal	278565
Binary	1000100000000100101 (19 bits)
Octal	0o1040045
Hexadecimal	0x44025

Divisor Catalog (24)

1 3 5 7 15 21 35 49 105 147 245 379 735 1,137 1,895 2,653 5,685 7,959 13,265 18,571 39,795 55,713 92,855 278,565

Collatz Trajectory (176 steps to reach 1)

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

278,565 835,696 417,848 208,924 104,462 52,231 156,694 78,347 235,042 117,521 352,564 176,282 88,141 264,424 132,212 66,106 33,053 99,160 49,580 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768

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