λ
Integer Codex

8,582,769

32 × 13 × 109 × 673
Deficient Odd Composite

For 8,582,769, the 24 positive divisors have a total of 13,493,480. Removing 8,582,769 leaves 4,910,711, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 13 × 109 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,493,480
Proper Divisor Sum 4,910,711
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8582759 ← → #8582771

Radix Representation

Decimal 8582769
Binary 100000101111011001110001 (24 bits)
Octal 0o40573161
Hexadecimal 0x82F671

Divisor Catalog (24)

1 3 9 13 39 109 117 327 673 981 1,417 2,019 4,251 6,057 8,749 12,753 26,247 73,357 78,741 220,071 660,213 953,641 2,860,923 8,582,769

Collatz Trajectory (137 steps to reach 1)

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

8,582,769 25,748,308 12,874,154 6,437,077 19,311,232 9,655,616 4,827,808 2,413,904 1,206,952 603,476 301,738 150,869 452,608 226,304 113,152 56,576 28,288 14,144 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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