λ
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4,457,992

23 × 7 × 11 × 7237
Abundant Even Composite

4,457,992 factors as 2^3 × 7 × 11 × 7237. Its 32 positive divisors give a proper-divisor sum of 5,964,728, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 7237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,422,720
Proper Divisor Sum 5,964,728
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4457987 ← → #4458001

Radix Representation

Decimal 4457992
Binary 10001000000011000001000 (23 bits)
Octal 0o21003010
Hexadecimal 0x440608

Divisor Catalog (32)

1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 7,237 14,474 28,948 50,659 57,896 79,607 101,318 159,214 202,636 318,428 405,272 557,249 636,856 1,114,498 2,228,996 4,457,992

Collatz Trajectory (211 steps to reach 1)

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

4,457,992 2,228,996 1,114,498 557,249 1,671,748 835,874 417,937 1,253,812 626,906 313,453 940,360 470,180 235,090 117,545 352,636 176,318 88,159 264,478 132,239 396,718 198,359 595,078 297,539 892,618 446,309 1,338,928 669,464 334,732 167,366 83,683 251,050 125,525 376,576 188,288 94,144 47,072 23,536 11,768 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295

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