524,051

11² × 61 × 71

For 524,051, the 12 positive divisors have a total of 593,712. Removing 524,051 leaves 69,661, which gives the deficient classification.

Prime Factor Structure

Factorization String 11^2 × 61 × 71

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 593,712

Proper Divisor Sum 69,661

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #524047 ← → #524053

Radix Representation

Decimal	524051
Binary	1111111111100010011 (19 bits)
Octal	0o1777423
Hexadecimal	0x7FF13

Divisor Catalog (12)

1 11 61 71 121 671 781 4,331 7,381 8,591 47,641 524,051

Collatz Trajectory (133 steps to reach 1)

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

524,051 1,572,154 786,077 2,358,232 1,179,116 589,558 294,779 884,338 442,169 1,326,508 663,254 331,627 994,882 497,441 1,492,324 746,162 373,081 1,119,244 559,622 279,811 839,434 419,717 1,259,152 629,576 314,788 157,394 78,697 236,092 118,046 59,023 177,070 88,535 265,606 132,803 398,410 199,205 597,616 298,808 149,404 74,702 37,351 112,054 56,027 168,082 84,041 252,124 126,062 63,031 189,094 94,547 283,642 141,821 425,464 212,732 106,366 53,183 159,550 79,775 239,326 119,663

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