λ
Integer Codex

877,144

23 × 83 × 1321
Deficient Even Composite

For 877,144, the 16 positive divisors have a total of 1,665,720. Removing 877,144 leaves 788,576, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 83 × 1321
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,665,720
Proper Divisor Sum 788,576
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #877133 ← → #877169

Radix Representation

Decimal 877144
Binary 11010110001001011000 (20 bits)
Octal 0o3261130
Hexadecimal 0xD6258

Divisor Catalog (16)

1 2 4 8 83 166 332 664 1,321 2,642 5,284 10,568 109,643 219,286 438,572 877,144

Collatz Trajectory (64 steps to reach 1)

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

877,144 438,572 219,286 109,643 328,930 164,465 493,396 246,698 123,349 370,048 185,024 92,512 46,256 23,128 11,564 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 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

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