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Atlas › Integer Profiles › Node 3,980,385

3,980,385

32 × 5 × 197 × 449
Deficient Odd Composite

3,980,385 factors as 3^2 × 5 × 197 × 449. Its 24 positive divisors give a proper-divisor sum of 2,969,415, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 197 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,949,800
Proper Divisor Sum 2,969,415
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3980377 ← → #3980387

Radix Representation

Decimal 3980385
Binary 1111001011110001100001 (22 bits)
Octal 0o17136141
Hexadecimal 0x3CBC61

Divisor Catalog (24)

1 3 5 9 15 45 197 449 591 985 1,347 1,773 2,245 2,955 4,041 6,735 8,865 20,205 88,453 265,359 442,265 796,077 1,326,795 3,980,385

Collatz Trajectory (216 steps to reach 1)

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

3,980,385 11,941,156 5,970,578 2,985,289 8,955,868 4,477,934 2,238,967 6,716,902 3,358,451 10,075,354 5,037,677 15,113,032 7,556,516 3,778,258 1,889,129 5,667,388 2,833,694 1,416,847 4,250,542 2,125,271 6,375,814 3,187,907 9,563,722 4,781,861 14,345,584 7,172,792 3,586,396 1,793,198 896,599 2,689,798 1,344,899 4,034,698 2,017,349 6,052,048 3,026,024 1,513,012 756,506 378,253 1,134,760 567,380 283,690 141,845 425,536 212,768 106,384 53,192 26,596 13,298 6,649 19,948 9,974 4,987 14,962 7,481 22,444 11,222 5,611 16,834 8,417 25,252

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