3,676,878

2 × 3² × 359 × 569

3,676,878 factors as 2 × 3^2 × 359 × 569. Its 24 positive divisors give a proper-divisor sum of 4,325,922, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 359 × 569

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,002,800

Proper Divisor Sum 4,325,922

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3676867 ← → #3676889

Radix Representation

Decimal	3676878
Binary	1110000001101011001110 (22 bits)
Octal	0o16015316
Hexadecimal	0x381ACE

Divisor Catalog (24)

Collatz Trajectory (216 steps to reach 1)

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

3,676,878 1,838,439 5,515,318 2,757,659 8,272,978 4,136,489 12,409,468 6,204,734 3,102,367 9,307,102 4,653,551 13,960,654 6,980,327 20,940,982 10,470,491 31,411,474 15,705,737 47,117,212 23,558,606 11,779,303 35,337,910 17,668,955 53,006,866 26,503,433 79,510,300 39,755,150 19,877,575 59,632,726 29,816,363 89,449,090 44,724,545 134,173,636 67,086,818 33,543,409 100,630,228 50,315,114 25,157,557 75,472,672 37,736,336 18,868,168 9,434,084 4,717,042 2,358,521 7,075,564 3,537,782 1,768,891 5,306,674 2,653,337 7,960,012 3,980,006 1,990,003 5,970,010 2,985,005 8,955,016 4,477,508 2,238,754 1,119,377 3,358,132 1,679,066 839,533

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