λ
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4,492,392

23 × 3 × 37 × 5059
Abundant Even Composite

4,492,392 factors as 2^3 × 3 × 37 × 5059. Its 32 positive divisors give a proper-divisor sum of 7,044,408, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 5059
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,536,800
Proper Divisor Sum 7,044,408
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4492391 ← → #4492399

Radix Representation

Decimal 4492392
Binary 10001001000110001101000 (23 bits)
Octal 0o21106150
Hexadecimal 0x448C68

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 5,059 10,118 15,177 20,236 30,354 40,472 60,708 121,416 187,183 374,366 561,549 748,732 1,123,098 1,497,464 2,246,196 4,492,392

Collatz Trajectory (211 steps to reach 1)

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

4,492,392 2,246,196 1,123,098 561,549 1,684,648 842,324 421,162 210,581 631,744 315,872 157,936 78,968 39,484 19,742 9,871 29,614 14,807 44,422 22,211 66,634 33,317 99,952 49,976 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 12,670 6,335 19,006 9,503 28,510

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