λ
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515,376

24 × 33 × 1193
Abundant Even Composite

515,376 factors as 2^4 × 3^3 × 1193. Its 40 positive divisors give a proper-divisor sum of 965,184, so this integer is abundant. The Collatz stopping time is 50 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 1193
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,480,560
Proper Divisor Sum 965,184
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #515371 ← → #515377

Radix Representation

Decimal 515376
Binary 1111101110100110000 (19 bits)
Octal 0o1756460
Hexadecimal 0x7DD30

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1,193 2,386 3,579 4,772 7,158 9,544 10,737 14,316 19,088 21,474 28,632 32,211 42,948 57,264 64,422 85,896 128,844 171,792 257,688 515,376

Collatz Trajectory (50 steps to reach 1)

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

515,376 257,688 128,844 64,422 32,211 96,634 48,317 144,952 72,476 36,238 18,119 54,358 27,179 81,538 40,769 122,308 61,154 30,577 91,732 45,866 22,933 68,800 34,400 17,200 8,600 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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