λ
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4,936,584

23 × 3 × 103 × 1997
Abundant Even Composite

4,936,584 factors as 2^3 × 3 × 103 × 1997. Its 32 positive divisors give a proper-divisor sum of 7,530,936, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 103 × 1997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,467,520
Proper Divisor Sum 7,530,936
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4936567 ← → #4936601

Radix Representation

Decimal 4936584
Binary 10010110101001110001000 (23 bits)
Octal 0o22651610
Hexadecimal 0x4B5388

Divisor Catalog (32)

1 2 3 4 6 8 12 24 103 206 309 412 618 824 1,236 1,997 2,472 3,994 5,991 7,988 11,982 15,976 23,964 47,928 205,691 411,382 617,073 822,764 1,234,146 1,645,528 2,468,292 4,936,584

Collatz Trajectory (82 steps to reach 1)

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

4,936,584 2,468,292 1,234,146 617,073 1,851,220 925,610 462,805 1,388,416 694,208 347,104 173,552 86,776 43,388 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148

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