λ
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858,744

23 × 32 × 11927
Abundant Even Composite

858,744 factors as 2^3 × 3^2 × 11927. Its 24 positive divisors give a proper-divisor sum of 1,467,216, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11927
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,325,960
Proper Divisor Sum 1,467,216
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #858713 ← → #858749

Radix Representation

Decimal 858744
Binary 11010001101001111000 (20 bits)
Octal 0o3215170
Hexadecimal 0xD1A78

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 11,927 23,854 35,781 47,708 71,562 95,416 107,343 143,124 214,686 286,248 429,372 858,744

Collatz Trajectory (126 steps to reach 1)

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

858,744 429,372 214,686 107,343 322,030 161,015 483,046 241,523 724,570 362,285 1,086,856 543,428 271,714 135,857 407,572 203,786 101,893 305,680 152,840 76,420 38,210 19,105 57,316 28,658 14,329 42,988 21,494 10,747 32,242 16,121 48,364 24,182 12,091 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453

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