λ
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44,504,488

23 × 7 × 37 × 47 × 457
Abundant Even Composite

44,504,488 factors as 2^3 × 7 × 37 × 47 × 457. Its 64 positive divisors give a proper-divisor sum of 55,742,552, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 37 × 47 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 100,247,040
Proper Divisor Sum 55,742,552
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #44504477 ← → #44504491

Radix Representation

Decimal 44504488
Binary 10101001110001010110101000 (26 bits)
Octal 0o251612650
Hexadecimal 0x2A715A8

Divisor Catalog (60 of 64)

1 2 4 7 8 14 28 37 47 56 74 94 148 188 259 296 329 376 457 518 658 914 1,036 1,316 1,739 1,828 2,072 2,632 3,199 3,478 3,656 6,398 6,956 12,173 12,796 13,912 16,909 21,479 24,346 25,592 33,818 42,958 48,692 67,636 85,916 97,384 118,363 135,272 150,353 171,832 236,726 300,706 473,452 601,412 794,723 946,904 1,202,824 1,589,446 3,178,892 5,563,061

Collatz Trajectory (111 steps to reach 1)

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

44,504,488 22,252,244 11,126,122 5,563,061 16,689,184 8,344,592 4,172,296 2,086,148 1,043,074 521,537 1,564,612 782,306 391,153 1,173,460 586,730 293,365 880,096 440,048 220,024 110,012 55,006 27,503 82,510 41,255 123,766 61,883 185,650 92,825 278,476 139,238 69,619 208,858 104,429 313,288 156,644 78,322 39,161 117,484 58,742 29,371 88,114 44,057 132,172 66,086 33,043 99,130 49,565 148,696 74,348 37,174 18,587 55,762 27,881 83,644 41,822 20,911 62,734 31,367 94,102 47,051

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