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Atlas › Integer Profiles › Node 3,988,341

3,988,341

32 × 7 × 29 × 37 × 59
Deficient Odd Composite

3,988,341 factors as 3^2 × 7 × 29 × 37 × 59. Its 48 positive divisors give a proper-divisor sum of 3,125,259, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 29 × 37 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,113,600
Proper Divisor Sum 3,125,259
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3988331 ← → #3988343

Radix Representation

Decimal 3988341
Binary 1111001101101101110101 (22 bits)
Octal 0o17155565
Hexadecimal 0x3CDB75

Divisor Catalog (48)

1 3 7 9 21 29 37 59 63 87 111 177 203 259 261 333 413 531 609 777 1,073 1,239 1,711 1,827 2,183 2,331 3,219 3,717 5,133 6,549 7,511 9,657 11,977 15,281 15,399 19,647 22,533 35,931 45,843 63,307 67,599 107,793 137,529 189,921 443,149 569,763 1,329,447 3,988,341

Collatz Trajectory (79 steps to reach 1)

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

3,988,341 11,965,024 5,982,512 2,991,256 1,495,628 747,814 373,907 1,121,722 560,861 1,682,584 841,292 420,646 210,323 630,970 315,485 946,456 473,228 236,614 118,307 354,922 177,461 532,384 266,192 133,096 66,548 33,274 16,637 49,912 24,956 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704

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