3,679,946

2 × 37 × 223²

3,679,946 factors as 2 × 37 × 223^2. Its 12 positive divisors give a proper-divisor sum of 2,014,696, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 37 × 223^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,694,642

Proper Divisor Sum 2,014,696

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #3679933 ← → #3679967

Radix Representation

Decimal	3679946
Binary	1110000010011011001010 (22 bits)
Octal	0o16023312
Hexadecimal	0x3826CA

Divisor Catalog (12)

1 2 37 74 223 446 8,251 16,502 49,729 99,458 1,839,973 3,679,946

Collatz Trajectory (159 steps to reach 1)

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

3,679,946 1,839,973 5,519,920 2,759,960 1,379,980 689,990 344,995 1,034,986 517,493 1,552,480 776,240 388,120 194,060 97,030 48,515 145,546 72,773 218,320 109,160 54,580 27,290 13,645 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893

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