968,732

2² × 199 × 1217

968,732 factors as 2^2 × 199 × 1217. Its 12 positive divisors give a proper-divisor sum of 736,468, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 199 × 1217

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,705,200

Proper Divisor Sum 736,468

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #968731 ← → #968761

Radix Representation

Decimal	968732
Binary	11101100100000011100 (20 bits)
Octal	0o3544034
Hexadecimal	0xEC81C

Divisor Catalog (12)

1 2 4 199 398 796 1,217 2,434 4,868 242,183 484,366 968,732

Collatz Trajectory (152 steps to reach 1)

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

968,732 484,366 242,183 726,550 363,275 1,089,826 544,913 1,634,740 817,370 408,685 1,226,056 613,028 306,514 153,257 459,772 229,886 114,943 344,830 172,415 517,246 258,623 775,870 387,935 1,163,806 581,903 1,745,710 872,855 2,618,566 1,309,283 3,927,850 1,963,925 5,891,776 2,945,888 1,472,944 736,472 368,236 184,118 92,059 276,178 138,089 414,268 207,134 103,567 310,702 155,351 466,054 233,027 699,082 349,541 1,048,624 524,312 262,156 131,078 65,539 196,618 98,309 294,928 147,464 73,732 36,866

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