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Atlas › Integer Profiles › Node 1,824,304

1,824,304

24 × 17 × 19 × 353
Abundant Even Composite

1,824,304 factors as 2^4 × 17 × 19 × 353. Its 40 positive divisors give a proper-divisor sum of 2,126,336, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 19 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,950,640
Proper Divisor Sum 2,126,336
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1824289 ← → #1824307

Radix Representation

Decimal 1824304
Binary 110111101011000110000 (21 bits)
Octal 0o6753060
Hexadecimal 0x1BD630

Divisor Catalog (40)

1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 353 646 706 1,292 1,412 2,584 2,824 5,168 5,648 6,001 6,707 12,002 13,414 24,004 26,828 48,008 53,656 96,016 107,312 114,019 228,038 456,076 912,152 1,824,304

Collatz Trajectory (158 steps to reach 1)

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

1,824,304 912,152 456,076 228,038 114,019 342,058 171,029 513,088 256,544 128,272 64,136 32,068 16,034 8,017 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323

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