654,702

2 × 3 × 19 × 5743

654,702 factors as 2 × 3 × 19 × 5743. Its 16 positive divisors give a proper-divisor sum of 723,858, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 5743

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,378,560

Proper Divisor Sum 723,858

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #654701 ← → #654727

Radix Representation

Decimal	654702
Binary	10011111110101101110 (20 bits)
Octal	0o2376556
Hexadecimal	0x9FD6E

Divisor Catalog (16)

1 2 3 6 19 38 57 114 5,743 11,486 17,229 34,458 109,117 218,234 327,351 654,702

Collatz Trajectory (79 steps to reach 1)

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

654,702 327,351 982,054 491,027 1,473,082 736,541 2,209,624 1,104,812 552,406 276,203 828,610 414,305 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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