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Atlas › Integer Profiles › Node 3,987,387

3,987,387

35 × 61 × 269
Deficient Odd Composite

3,987,387 factors as 3^5 × 61 × 269. Its 24 positive divisors give a proper-divisor sum of 2,105,973, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 3^5 × 61 × 269
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,093,360
Proper Divisor Sum 2,105,973
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3987353 ← → #3987407

Radix Representation

Decimal 3987387
Binary 1111001101011110111011 (22 bits)
Octal 0o17153673
Hexadecimal 0x3CD7BB

Divisor Catalog (24)

1 3 9 27 61 81 183 243 269 549 807 1,647 2,421 4,941 7,263 14,823 16,409 21,789 49,227 65,367 147,681 443,043 1,329,129 3,987,387

Collatz Trajectory (229 steps to reach 1)

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

3,987,387 11,962,162 5,981,081 17,943,244 8,971,622 4,485,811 13,457,434 6,728,717 20,186,152 10,093,076 5,046,538 2,523,269 7,569,808 3,784,904 1,892,452 946,226 473,113 1,419,340 709,670 354,835 1,064,506 532,253 1,596,760 798,380 399,190 199,595 598,786 299,393 898,180 449,090 224,545 673,636 336,818 168,409 505,228 252,614 126,307 378,922 189,461 568,384 284,192 142,096 71,048 35,524 17,762 8,881 26,644 13,322 6,661 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703

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