λ
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4,137,976

23 × 23 × 43 × 523
Abundant Even Composite

4,137,976 factors as 2^3 × 23 × 43 × 523. Its 32 positive divisors give a proper-divisor sum of 4,162,184, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 43 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,300,160
Proper Divisor Sum 4,162,184
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4137971 ← → #4137977

Radix Representation

Decimal 4137976
Binary 1111110010001111111000 (22 bits)
Octal 0o17621770
Hexadecimal 0x3F23F8

Divisor Catalog (32)

1 2 4 8 23 43 46 86 92 172 184 344 523 989 1,046 1,978 2,092 3,956 4,184 7,912 12,029 22,489 24,058 44,978 48,116 89,956 96,232 179,912 517,247 1,034,494 2,068,988 4,137,976

Collatz Trajectory (136 steps to reach 1)

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

4,137,976 2,068,988 1,034,494 517,247 1,551,742 775,871 2,327,614 1,163,807 3,491,422 1,745,711 5,237,134 2,618,567 7,855,702 3,927,851 11,783,554 5,891,777 17,675,332 8,837,666 4,418,833 13,256,500 6,628,250 3,314,125 9,942,376 4,971,188 2,485,594 1,242,797 3,728,392 1,864,196 932,098 466,049 1,398,148 699,074 349,537 1,048,612 524,306 262,153 786,460 393,230 196,615 589,846 294,923 884,770 442,385 1,327,156 663,578 331,789 995,368 497,684 248,842 124,421 373,264 186,632 93,316 46,658 23,329 69,988 34,994 17,497 52,492 26,246

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