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Atlas › Integer Profiles › Node 2,445,824

2,445,824

29 × 17 × 281
Abundant Even Composite

2,445,824 factors as 2^9 × 17 × 281. Its 40 positive divisors give a proper-divisor sum of 2,746,924, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^9 × 17 × 281
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,192,748
Proper Divisor Sum 2,746,924
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2445799 ← → #2445827

Radix Representation

Decimal 2445824
Binary 1001010101001000000000 (22 bits)
Octal 0o11251000
Hexadecimal 0x255200

Divisor Catalog (40)

1 2 4 8 16 17 32 34 64 68 128 136 256 272 281 512 544 562 1,088 1,124 2,176 2,248 4,352 4,496 4,777 8,704 8,992 9,554 17,984 19,108 35,968 38,216 71,936 76,432 143,872 152,864 305,728 611,456 1,222,912 2,445,824

Collatz Trajectory (112 steps to reach 1)

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

2,445,824 1,222,912 611,456 305,728 152,864 76,432 38,216 19,108 9,554 4,777 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560 137,780 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591

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