λ
Sigma Notebook

1,831,004

22 × 7 × 65393
Abundant Even Composite

1,831,004 is even and not a perfect square. Its factorization is 2^2 × 7 × 65393 and its 12 divisors sum to 3,662,064.

Prime Factor Structure

Factorization String 2^2 × 7 × 65393
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,662,064
Proper Divisor Sum 1,831,060
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1831003 ← → #1831009

Radix Representation

Decimal 1831004
Binary 110111111000001011100 (21 bits)
Octal 0o6770134
Hexadecimal 0x1BF05C

Divisor Catalog (12)

1 2 4 7 14 28 65,393 130,786 261,572 457,751 915,502 1,831,004

Collatz Trajectory (57 steps to reach 1)

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

1,831,004 915,502 457,751 1,373,254 686,627 2,059,882 1,029,941 3,089,824 1,544,912 772,456 386,228 193,114 96,557 289,672 144,836 72,418 36,209 108,628 54,314 27,157 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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