45,001,675

5² × 1800067

45,001,675 factors as 5^2 × 1800067. Its 6 positive divisors give a proper-divisor sum of 10,800,433, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 5^2 × 1800067

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 55,802,108

Proper Divisor Sum 10,800,433

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #45001673 ← → #45001681

Radix Representation

Decimal	45001675
Binary	10101011101010101111001011 (26 bits)
Octal	0o253525713
Hexadecimal	0x2AEABCB

Divisor Catalog (6)

1 5 25 1,800,067 9,000,335 45,001,675

Collatz Trajectory (186 steps to reach 1)

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

45,001,675 135,005,026 67,502,513 202,507,540 101,253,770 50,626,885 151,880,656 75,940,328 37,970,164 18,985,082 9,492,541 28,477,624 14,238,812 7,119,406 3,559,703 10,679,110 5,339,555 16,018,666 8,009,333 24,028,000 12,014,000 6,007,000 3,003,500 1,501,750 750,875 2,252,626 1,126,313 3,378,940 1,689,470 844,735 2,534,206 1,267,103 3,801,310 1,900,655 5,701,966 2,850,983 8,552,950 4,276,475 12,829,426 6,414,713 19,244,140 9,622,070 4,811,035 14,433,106 7,216,553 21,649,660 10,824,830 5,412,415 16,237,246 8,118,623 24,355,870 12,177,935 36,533,806 18,266,903 54,800,710 27,400,355 82,201,066 41,100,533 123,301,600 61,650,800

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