λ
Integer Codex

4,296,123

32 × 13 × 73 × 503
Deficient Odd Composite

For 4,296,123, the 24 positive divisors have a total of 6,787,872. Removing 4,296,123 leaves 2,491,749, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 13 × 73 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,787,872
Proper Divisor Sum 2,491,749
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4296091 ← → #4296137

Radix Representation

Decimal 4296123
Binary 10000011000110110111011 (23 bits)
Octal 0o20306673
Hexadecimal 0x418DBB

Divisor Catalog (24)

1 3 9 13 39 73 117 219 503 657 949 1,509 2,847 4,527 6,539 8,541 19,617 36,719 58,851 110,157 330,471 477,347 1,432,041 4,296,123

Collatz Trajectory (118 steps to reach 1)

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

4,296,123 12,888,370 6,444,185 19,332,556 9,666,278 4,833,139 14,499,418 7,249,709 21,749,128 10,874,564 5,437,282 2,718,641 8,155,924 4,077,962 2,038,981 6,116,944 3,058,472 1,529,236 764,618 382,309 1,146,928 573,464 286,732 143,366 71,683 215,050 107,525 322,576 161,288 80,644 40,322 20,161 60,484 30,242 15,121 45,364 22,682 11,341 34,024 17,012 8,506 4,253 12,760 6,380 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758

More profiles

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