λ
Integer Codex

1,723,472

24 × 107717
Deficient Even Composite

For 1,723,472, the 10 positive divisors have a total of 3,339,258. Removing 1,723,472 leaves 1,615,786, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 107717
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 3,339,258
Proper Divisor Sum 1,615,786
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1723453 ← → #1723481

Radix Representation

Decimal 1723472
Binary 110100100110001010000 (21 bits)
Octal 0o6446120
Hexadecimal 0x1A4C50

Divisor Catalog (10)

1 2 4 8 16 107,717 215,434 430,868 861,736 1,723,472

Collatz Trajectory (96 steps to reach 1)

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

1,723,472 861,736 430,868 215,434 107,717 323,152 161,576 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834

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