872,937

3⁴ × 13 × 829

872,937 factors as 3^4 × 13 × 829. Its 20 positive divisors give a proper-divisor sum of 533,083, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 3^4 × 13 × 829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,406,020

Proper Divisor Sum 533,083

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #872923 ← → #872947

Radix Representation

Decimal	872937
Binary	11010101000111101001 (20 bits)
Octal	0o3250751
Hexadecimal	0xD51E9

Divisor Catalog (20)

Collatz Trajectory (82 steps to reach 1)

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

872,937 2,618,812 1,309,406 654,703 1,964,110 982,055 2,946,166 1,473,083 4,419,250 2,209,625 6,628,876 3,314,438 1,657,219 4,971,658 2,485,829 7,457,488 3,728,744 1,864,372 932,186 466,093 1,398,280 699,140 349,570 174,785 524,356 262,178 131,089 393,268 196,634 98,317 294,952 147,476 73,738 36,869 110,608 55,304 27,652 13,826 6,913 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154

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