λ
Integer Codex

1,304,821

72 × 31 × 859
Deficient Odd Composite

For 1,304,821, the 12 positive divisors have a total of 1,568,640. Removing 1,304,821 leaves 263,819, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 31 × 859
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,568,640
Proper Divisor Sum 263,819
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1304803 ← → #1304833

Radix Representation

Decimal 1304821
Binary 100111110100011110101 (21 bits)
Octal 0o4764365
Hexadecimal 0x13E8F5

Divisor Catalog (12)

1 7 31 49 217 859 1,519 6,013 26,629 42,091 186,403 1,304,821

Collatz Trajectory (93 steps to reach 1)

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

1,304,821 3,914,464 1,957,232 978,616 489,308 244,654 122,327 366,982 183,491 550,474 275,237 825,712 412,856 206,428 103,214 51,607 154,822 77,411 232,234 116,117 348,352 174,176 87,088 43,544 21,772 10,886 5,443 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384

More profiles

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