λ
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4,497,618

2 × 3 × 41 × 47 × 389
Abundant Even Composite

4,497,618 factors as 2 × 3 × 41 × 47 × 389. Its 32 positive divisors give a proper-divisor sum of 4,937,262, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 47 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,434,880
Proper Divisor Sum 4,937,262
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4497611 ← → #4497641

Radix Representation

Decimal 4497618
Binary 10001001010000011010010 (23 bits)
Octal 0o21120322
Hexadecimal 0x44A0D2

Divisor Catalog (32)

1 2 3 6 41 47 82 94 123 141 246 282 389 778 1,167 1,927 2,334 3,854 5,781 11,562 15,949 18,283 31,898 36,566 47,847 54,849 95,694 109,698 749,603 1,499,206 2,248,809 4,497,618

Collatz Trajectory (136 steps to reach 1)

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

4,497,618 2,248,809 6,746,428 3,373,214 1,686,607 5,059,822 2,529,911 7,589,734 3,794,867 11,384,602 5,692,301 17,076,904 8,538,452 4,269,226 2,134,613 6,403,840 3,201,920 1,600,960 800,480 400,240 200,120 100,060 50,030 25,015 75,046 37,523 112,570 56,285 168,856 84,428 42,214 21,107 63,322 31,661 94,984 47,492 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793

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