λ
Sigma Notebook

308,500

22 × 53 × 617
Abundant Even Composite

308,500 is even and not a perfect square. Its factorization is 2^2 × 5^3 × 617 and its 24 divisors sum to 674,856.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 617
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 674,856
Proper Divisor Sum 366,356
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #308491 ← → #308501

Radix Representation

Decimal 308500
Binary 1001011010100010100 (19 bits)
Octal 0o1132424
Hexadecimal 0x4B514

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 617 1,234 2,468 3,085 6,170 12,340 15,425 30,850 61,700 77,125 154,250 308,500

Collatz Trajectory (78 steps to reach 1)

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

308,500 154,250 77,125 231,376 115,688 57,844 28,922 14,461 43,384 21,692 10,846 5,423 16,270 8,135 24,406 12,203 36,610 18,305 54,916 27,458 13,729 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56

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