10,695,525

3 × 5² × 142607

10,695,525 factors as 3 × 5^2 × 142607. Its 12 positive divisors give a proper-divisor sum of 6,987,867, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 142607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,683,392

Proper Divisor Sum 6,987,867

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #10695497 ← → #10695539

Radix Representation

Decimal	10695525
Binary	101000110011001101100101 (24 bits)
Octal	0o50631545
Hexadecimal	0xA33365

Divisor Catalog (12)

1 3 5 15 25 75 142,607 427,821 713,035 2,139,105 3,565,175 10,695,525

Collatz Trajectory (145 steps to reach 1)

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

10,695,525 32,086,576 16,043,288 8,021,644 4,010,822 2,005,411 6,016,234 3,008,117 9,024,352 4,512,176 2,256,088 1,128,044 564,022 282,011 846,034 423,017 1,269,052 634,526 317,263 951,790 475,895 1,427,686 713,843 2,141,530 1,070,765 3,212,296 1,606,148 803,074 401,537 1,204,612 602,306 301,153 903,460 451,730 225,865 677,596 338,798 169,399 508,198 254,099 762,298 381,149 1,143,448 571,724 285,862 142,931 428,794 214,397 643,192 321,596 160,798 80,399 241,198 120,599 361,798 180,899 542,698 271,349 814,048 407,024

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