720,393

3 × 240131

720,393 factors as 3 × 240131. Its 4 positive divisors give a proper-divisor sum of 240,135, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3 × 240131

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 960,528

Proper Divisor Sum 240,135

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #720373 ← → #720397

Radix Representation

Decimal	720393
Binary	10101111111000001001 (20 bits)
Octal	0o2577011
Hexadecimal	0xAFE09

Divisor Catalog (4)

1 3 240,131 720,393

Collatz Trajectory (118 steps to reach 1)

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

720,393 2,161,180 1,080,590 540,295 1,620,886 810,443 2,431,330 1,215,665 3,646,996 1,823,498 911,749 2,735,248 1,367,624 683,812 341,906 170,953 512,860 256,430 128,215 384,646 192,323 576,970 288,485 865,456 432,728 216,364 108,182 54,091 162,274 81,137 243,412 121,706 60,853 182,560 91,280 45,640 22,820 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430

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