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Atlas › Integer Profiles › Node 3,649,630

3,649,630

2 × 5 × 31 × 61 × 193
Deficient Even Composite

3,649,630 factors as 2 × 5 × 31 × 61 × 193. Its 32 positive divisors give a proper-divisor sum of 3,278,498, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 61 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,928,128
Proper Divisor Sum 3,278,498
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3649609 ← → #3649637

Radix Representation

Decimal 3649630
Binary 1101111011000001011110 (22 bits)
Octal 0o15730136
Hexadecimal 0x37B05E

Divisor Catalog (32)

1 2 5 10 31 61 62 122 155 193 305 310 386 610 965 1,891 1,930 3,782 5,983 9,455 11,773 11,966 18,910 23,546 29,915 58,865 59,830 117,730 364,963 729,926 1,824,815 3,649,630

Collatz Trajectory (115 steps to reach 1)

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

3,649,630 1,824,815 5,474,446 2,737,223 8,211,670 4,105,835 12,317,506 6,158,753 18,476,260 9,238,130 4,619,065 13,857,196 6,928,598 3,464,299 10,392,898 5,196,449 15,589,348 7,794,674 3,897,337 11,692,012 5,846,006 2,923,003 8,769,010 4,384,505 13,153,516 6,576,758 3,288,379 9,865,138 4,932,569 14,797,708 7,398,854 3,699,427 11,098,282 5,549,141 16,647,424 8,323,712 4,161,856 2,080,928 1,040,464 520,232 260,116 130,058 65,029 195,088 97,544 48,772 24,386 12,193 36,580 18,290 9,145 27,436 13,718 6,859 20,578 10,289 30,868 15,434 7,717 23,152

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