303,320

2³ × 5 × 7583

303,320 factors as 2^3 × 5 × 7583. Its 16 positive divisors give a proper-divisor sum of 379,240, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7583

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 682,560

Proper Divisor Sum 379,240

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #303313 ← → #303323

Radix Representation

Decimal	303320
Binary	1001010000011011000 (19 bits)
Octal	0o1120330
Hexadecimal	0x4A0D8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 7,583 15,166 30,332 37,915 60,664 75,830 151,660 303,320

Collatz Trajectory (109 steps to reach 1)

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

303,320 151,660 75,830 37,915 113,746 56,873 170,620 85,310 42,655 127,966 63,983 191,950 95,975 287,926 143,963 431,890 215,945 647,836 323,918 161,959 485,878 242,939 728,818 364,409 1,093,228 546,614 273,307 819,922 409,961 1,229,884 614,942 307,471 922,414 461,207 1,383,622 691,811 2,075,434 1,037,717 3,113,152 1,556,576 778,288 389,144 194,572 97,286 48,643 145,930 72,965 218,896 109,448 54,724 27,362 13,681 41,044 20,522 10,261 30,784 15,392 7,696 3,848 1,924

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