λ
Integer Codex

4,165,962

2 × 3 × 694327
Abundant Even Composite

For 4,165,962, the 8 positive divisors have a total of 8,331,936. Removing 4,165,962 leaves 4,165,974, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 694327
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,331,936
Proper Divisor Sum 4,165,974
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4165961 ← → #4165963

Radix Representation

Decimal 4165962
Binary 1111111001000101001010 (22 bits)
Octal 0o17710512
Hexadecimal 0x3F914A

Divisor Catalog (8)

1 2 3 6 694,327 1,388,654 2,082,981 4,165,962

Collatz Trajectory (211 steps to reach 1)

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

4,165,962 2,082,981 6,248,944 3,124,472 1,562,236 781,118 390,559 1,171,678 585,839 1,757,518 878,759 2,636,278 1,318,139 3,954,418 1,977,209 5,931,628 2,965,814 1,482,907 4,448,722 2,224,361 6,673,084 3,336,542 1,668,271 5,004,814 2,502,407 7,507,222 3,753,611 11,260,834 5,630,417 16,891,252 8,445,626 4,222,813 12,668,440 6,334,220 3,167,110 1,583,555 4,750,666 2,375,333 7,126,000 3,563,000 1,781,500 890,750 445,375 1,336,126 668,063 2,004,190 1,002,095 3,006,286 1,503,143 4,509,430 2,254,715 6,764,146 3,382,073 10,146,220 5,073,110 2,536,555 7,609,666 3,804,833 11,414,500 5,707,250

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