503,448

2³ × 3 × 11 × 1907

503,448 factors as 2^3 × 3 × 11 × 1907. Its 32 positive divisors give a proper-divisor sum of 870,312, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 1907

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,373,760

Proper Divisor Sum 870,312

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #503441 ← → #503453

Radix Representation

Decimal	503448
Binary	1111010111010011000 (19 bits)
Octal	0o1727230
Hexadecimal	0x7AE98

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1,907 3,814 5,721 7,628 11,442 15,256 20,977 22,884 41,954 45,768 62,931 83,908 125,862 167,816 251,724 503,448

Collatz Trajectory (182 steps to reach 1)

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

503,448 251,724 125,862 62,931 188,794 94,397 283,192 141,596 70,798 35,399 106,198 53,099 159,298 79,649 238,948 119,474 59,737 179,212 89,606 44,803 134,410 67,205 201,616 100,808 50,404 25,202 12,601 37,804 18,902 9,451 28,354 14,177 42,532 21,266 10,633 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168

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