λ
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Atlas › Integer Profiles › Node 2,376,512

2,376,512

26 × 71 × 523
Abundant Even Composite

2,376,512 factors as 2^6 × 71 × 523. Its 28 positive divisors give a proper-divisor sum of 2,414,944, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^6 × 71 × 523
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 4,791,456
Proper Divisor Sum 2,414,944
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2376469 ← → #2376529

Radix Representation

Decimal 2376512
Binary 1001000100001101000000 (22 bits)
Octal 0o11041500
Hexadecimal 0x244340

Divisor Catalog (28)

1 2 4 8 16 32 64 71 142 284 523 568 1,046 1,136 2,092 2,272 4,184 4,544 8,368 16,736 33,472 37,133 74,266 148,532 297,064 594,128 1,188,256 2,376,512

Collatz Trajectory (68 steps to reach 1)

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

2,376,512 1,188,256 594,128 297,064 148,532 74,266 37,133 111,400 55,700 27,850 13,925 41,776 20,888 10,444 5,222 2,611 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

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