λ
Integer Codex

19,472

24 × 1217
Deficient Even Composite

For 19,472, the 10 positive divisors have a total of 37,758. Removing 19,472 leaves 18,286, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 1217
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 37,758
Proper Divisor Sum 18,286
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #19471 ← → #19477

Radix Representation

Decimal 19472
Binary 100110000010000 (15 bits)
Octal 0o46020
Hexadecimal 0x4C10

Divisor Catalog (10)

1 2 4 8 16 1,217 2,434 4,868 9,736 19,472

Collatz Trajectory (136 steps to reach 1)

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

19,472 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

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