λ
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844,974

2 × 32 × 13 × 23 × 157
Abundant Even Composite

844,974 factors as 2 × 3^2 × 13 × 23 × 157. Its 48 positive divisors give a proper-divisor sum of 1,225,458, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 23 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,070,432
Proper Divisor Sum 1,225,458
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #844957 ← → #844999

Radix Representation

Decimal 844974
Binary 11001110010010101110 (20 bits)
Octal 0o3162256
Hexadecimal 0xCE4AE

Divisor Catalog (48)

1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 157 207 234 299 314 414 471 598 897 942 1,413 1,794 2,041 2,691 2,826 3,611 4,082 5,382 6,123 7,222 10,833 12,246 18,369 21,666 32,499 36,738 46,943 64,998 93,886 140,829 281,658 422,487 844,974

Collatz Trajectory (105 steps to reach 1)

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

844,974 422,487 1,267,462 633,731 1,901,194 950,597 2,851,792 1,425,896 712,948 356,474 178,237 534,712 267,356 133,678 66,839 200,518 100,259 300,778 150,389 451,168 225,584 112,792 56,396 28,198 14,099 42,298 21,149 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362

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