λ
Integer Codex

3,993,401

19 × 67 × 3137
Deficient Odd Composite

For 3,993,401, the 8 positive divisors have a total of 4,267,680. Removing 3,993,401 leaves 274,279, which gives the deficient classification.

Prime Factor Structure

Factorization String 19 × 67 × 3137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,267,680
Proper Divisor Sum 274,279
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3993397 ← → #3993427

Radix Representation

Decimal 3993401
Binary 1111001110111100111001 (22 bits)
Octal 0o17167471
Hexadecimal 0x3CEF39

Divisor Catalog (8)

1 19 67 1,273 3,137 59,603 210,179 3,993,401

Collatz Trajectory (216 steps to reach 1)

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

3,993,401 11,980,204 5,990,102 2,995,051 8,985,154 4,492,577 13,477,732 6,738,866 3,369,433 10,108,300 5,054,150 2,527,075 7,581,226 3,790,613 11,371,840 5,685,920 2,842,960 1,421,480 710,740 355,370 177,685 533,056 266,528 133,264 66,632 33,316 16,658 8,329 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223

More profiles

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