λ
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834,048

29 × 32 × 181
Abundant Even Composite

834,048 factors as 2^9 × 3^2 × 181. Its 60 positive divisors give a proper-divisor sum of 1,586,370, so this integer is abundant. The Collatz stopping time is 51 steps.

Prime Factor Structure

Factorization String 2^9 × 3^2 × 181
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 2,420,418
Proper Divisor Sum 1,586,370
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #834023 ← → #834059

Radix Representation

Decimal 834048
Binary 11001011101000000000 (20 bits)
Octal 0o3135000
Hexadecimal 0xCBA00

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 256 288 362 384 512 543 576 724 768 1,086 1,152 1,448 1,536 1,629 2,172 2,304 2,896 3,258 4,344 4,608 5,792 6,516 8,688 11,584 13,032 17,376 23,168 26,064 34,752 46,336 52,128 69,504 92,672 104,256 139,008 208,512 278,016 417,024 834,048

Collatz Trajectory (51 steps to reach 1)

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

834,048 417,024 208,512 104,256 52,128 26,064 13,032 6,516 3,258 1,629 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 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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