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Atlas › Integer Profiles › Node 3,967,383

3,967,383

3 × 72 × 137 × 197
Deficient Odd Composite

3,967,383 factors as 3 × 7^2 × 137 × 197. Its 24 positive divisors give a proper-divisor sum of 2,262,489, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 137 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,229,872
Proper Divisor Sum 2,262,489
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3967373 ← → #3967417

Radix Representation

Decimal 3967383
Binary 1111001000100110010111 (22 bits)
Octal 0o17104627
Hexadecimal 0x3C8997

Divisor Catalog (24)

1 3 7 21 49 137 147 197 411 591 959 1,379 2,877 4,137 6,713 9,653 20,139 26,989 28,959 80,967 188,923 566,769 1,322,461 3,967,383

Collatz Trajectory (123 steps to reach 1)

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

3,967,383 11,902,150 5,951,075 17,853,226 8,926,613 26,779,840 13,389,920 6,694,960 3,347,480 1,673,740 836,870 418,435 1,255,306 627,653 1,882,960 941,480 470,740 235,370 117,685 353,056 176,528 88,264 44,132 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196

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