531,531

3² × 7 × 11 × 13 × 59

For 531,531, the 48 positive divisors have a total of 1,048,320. Removing 531,531 leaves 516,789, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 13 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,048,320

Proper Divisor Sum 516,789

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #531521 ← → #531547

Radix Representation

Decimal	531531
Binary	10000001110001001011 (20 bits)
Octal	0o2016113
Hexadecimal	0x81C4B

Divisor Catalog (48)

1 3 7 9 11 13 21 33 39 59 63 77 91 99 117 143 177 231 273 413 429 531 649 693 767 819 1,001 1,239 1,287 1,947 2,301 3,003 3,717 4,543 5,369 5,841 6,903 8,437 9,009 13,629 16,107 25,311 40,887 48,321 59,059 75,933 177,177 531,531

Collatz Trajectory (71 steps to reach 1)

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

531,531 1,594,594 797,297 2,391,892 1,195,946 597,973 1,793,920 896,960 448,480 224,240 112,120 56,060 28,030 14,015 42,046 21,023 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738 59,869 179,608 89,804 44,902 22,451 67,354 33,677 101,032 50,516 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17

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