3,695,838

2 × 3 × 467 × 1319

3,695,838 factors as 2 × 3 × 467 × 1319. Its 16 positive divisors give a proper-divisor sum of 3,717,282, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2 × 3 × 467 × 1319

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,413,120

Proper Divisor Sum 3,717,282

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3695833 ← → #3695869

Radix Representation

Decimal	3695838
Binary	1110000110010011011110 (22 bits)
Octal	0o16062336
Hexadecimal	0x3864DE

Divisor Catalog (16)

1 2 3 6 467 934 1,319 1,401 2,638 2,802 3,957 7,914 615,973 1,231,946 1,847,919 3,695,838

Collatz Trajectory (97 steps to reach 1)

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

3,695,838 1,847,919 5,543,758 2,771,879 8,315,638 4,157,819 12,473,458 6,236,729 18,710,188 9,355,094 4,677,547 14,032,642 7,016,321 21,048,964 10,524,482 5,262,241 15,786,724 7,893,362 3,946,681 11,840,044 5,920,022 2,960,011 8,880,034 4,440,017 13,320,052 6,660,026 3,330,013 9,990,040 4,995,020 2,497,510 1,248,755 3,746,266 1,873,133 5,619,400 2,809,700 1,404,850 702,425 2,107,276 1,053,638 526,819 1,580,458 790,229 2,370,688 1,185,344 592,672 296,336 148,168 74,084 37,042 18,521 55,564 27,782 13,891 41,674 20,837 62,512 31,256 15,628 7,814 3,907

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