654,700

2² × 5² × 6547

654,700 factors as 2^2 × 5^2 × 6547. Its 18 positive divisors give a proper-divisor sum of 766,216, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 6547

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,420,916

Proper Divisor Sum 766,216

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #654697 ← → #654701

Radix Representation

Decimal	654700
Binary	10011111110101101100 (20 bits)
Octal	0o2376554
Hexadecimal	0x9FD6C

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 6,547 13,094 26,188 32,735 65,470 130,940 163,675 327,350 654,700

Collatz Trajectory (79 steps to reach 1)

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

654,700 327,350 163,675 491,026 245,513 736,540 368,270 184,135 552,406 276,203 828,610 414,305 1,242,916 621,458 310,729 932,188 466,094 233,047 699,142 349,571 1,048,714 524,357 1,573,072 786,536 393,268 196,634 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 77 232 116

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