376,754

2 × 7 × 17 × 1583

376,754 factors as 2 × 7 × 17 × 1583. Its 16 positive divisors give a proper-divisor sum of 307,534, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 1583

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 684,288

Proper Divisor Sum 307,534

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #376729 ← → #376757

Radix Representation

Decimal	376754
Binary	1011011111110110010 (19 bits)
Octal	0o1337662
Hexadecimal	0x5BFB2

Divisor Catalog (16)

1 2 7 14 17 34 119 238 1,583 3,166 11,081 22,162 26,911 53,822 188,377 376,754

Collatz Trajectory (179 steps to reach 1)

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

376,754 188,377 565,132 282,566 141,283 423,850 211,925 635,776 317,888 158,944 79,472 39,736 19,868 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392

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