λ
Integer Codex

4,231,405

5 × 41 × 20641
Deficient Odd Composite

For 4,231,405, the 8 positive divisors have a total of 5,201,784. Removing 4,231,405 leaves 970,379, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 41 × 20641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,201,784
Proper Divisor Sum 970,379
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4231399 ← → #4231417

Radix Representation

Decimal 4231405
Binary 10000001001000011101101 (23 bits)
Octal 0o20110355
Hexadecimal 0x4090ED

Divisor Catalog (8)

1 5 41 205 20,641 103,205 846,281 4,231,405

Collatz Trajectory (167 steps to reach 1)

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

4,231,405 12,694,216 6,347,108 3,173,554 1,586,777 4,760,332 2,380,166 1,190,083 3,570,250 1,785,125 5,355,376 2,677,688 1,338,844 669,422 334,711 1,004,134 502,067 1,506,202 753,101 2,259,304 1,129,652 564,826 282,413 847,240 423,620 211,810 105,905 317,716 158,858 79,429 238,288 119,144 59,572 29,786 14,893 44,680 22,340 11,170 5,585 16,756 8,378 4,189 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125

More profiles

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