52,596,725

5² × 17 × 123757

Prime Factor Structure

Factorization String 5^2 × 17 × 123757

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 69,056,964

Proper Divisor Sum 16,460,239

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #52596707 ← → #52596779

Radix Representation

Decimal	52596725
Binary	11001000101000111111110101 (26 bits)
Octal	0o310507765
Hexadecimal	0x3228FF5

Divisor Catalog (12)

1 5 17 25 85 425 123,757 618,785 2,103,869 3,093,925 10,519,345 52,596,725

Collatz Trajectory (199 steps to reach 1)

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

52,596,725 157,790,176 78,895,088 39,447,544 19,723,772 9,861,886 4,930,943 14,792,830 7,396,415 22,189,246 11,094,623 33,283,870 16,641,935 49,925,806 24,962,903 74,888,710 37,444,355 112,333,066 56,166,533 168,499,600 84,249,800 42,124,900 21,062,450 10,531,225 31,593,676 15,796,838 7,898,419 23,695,258 11,847,629 35,542,888 17,771,444 8,885,722 4,442,861 13,328,584 6,664,292 3,332,146 1,666,073 4,998,220 2,499,110 1,249,555 3,748,666 1,874,333 5,623,000 2,811,500 1,405,750 702,875 2,108,626 1,054,313 3,162,940 1,581,470 790,735 2,372,206 1,186,103 3,558,310 1,779,155 5,337,466 2,668,733 8,006,200 4,003,100 2,001,550

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