λ
Integer Codex

1,073,064

23 × 3 × 44711
Abundant Even Composite

For 1,073,064, the 16 positive divisors have a total of 2,682,720. Removing 1,073,064 leaves 1,609,656, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 44711
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,682,720
Proper Divisor Sum 1,609,656
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1073053 ← → #1073069

Radix Representation

Decimal 1073064
Binary 100000101111110101000 (21 bits)
Octal 0o4057650
Hexadecimal 0x105FA8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 44,711 89,422 134,133 178,844 268,266 357,688 536,532 1,073,064

Collatz Trajectory (165 steps to reach 1)

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

1,073,064 536,532 268,266 134,133 402,400 201,200 100,600 50,300 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190

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