λ
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Atlas › Integer Profiles › Node 3,901,846

3,901,846

2 × 13 × 31 × 47 × 103
Deficient Even Composite

3,901,846 factors as 2 × 13 × 31 × 47 × 103. Its 32 positive divisors give a proper-divisor sum of 2,807,402, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 13 × 31 × 47 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,709,248
Proper Divisor Sum 2,807,402
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3901841 ← → #3901853

Radix Representation

Decimal 3901846
Binary 1110111000100110010110 (22 bits)
Octal 0o16704626
Hexadecimal 0x3B8996

Divisor Catalog (32)

1 2 13 26 31 47 62 94 103 206 403 611 806 1,222 1,339 1,457 2,678 2,914 3,193 4,841 6,386 9,682 18,941 37,882 41,509 62,933 83,018 125,866 150,071 300,142 1,950,923 3,901,846

Collatz Trajectory (185 steps to reach 1)

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

3,901,846 1,950,923 5,852,770 2,926,385 8,779,156 4,389,578 2,194,789 6,584,368 3,292,184 1,646,092 823,046 411,523 1,234,570 617,285 1,851,856 925,928 462,964 231,482 115,741 347,224 173,612 86,806 43,403 130,210 65,105 195,316 97,658 48,829 146,488 73,244 36,622 18,311 54,934 27,467 82,402 41,201 123,604 61,802 30,901 92,704 46,352 23,176 11,588 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130

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