λ
Integer Codex

584,776

23 × 67 × 1091
Deficient Even Composite

For 584,776, the 16 positive divisors have a total of 1,113,840. Removing 584,776 leaves 529,064, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 67 × 1091
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,113,840
Proper Divisor Sum 529,064
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #584767 ← → #584777

Radix Representation

Decimal 584776
Binary 10001110110001001000 (20 bits)
Octal 0o2166110
Hexadecimal 0x8EC48

Divisor Catalog (16)

1 2 4 8 67 134 268 536 1,091 2,182 4,364 8,728 73,097 146,194 292,388 584,776

Collatz Trajectory (159 steps to reach 1)

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

584,776 292,388 146,194 73,097 219,292 109,646 54,823 164,470 82,235 246,706 123,353 370,060 185,030 92,515 277,546 138,773 416,320 208,160 104,080 52,040 26,020 13,010 6,505 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107

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