λ
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4,158,050

2 × 52 × 13 × 6397
Abundant Even Composite

4,158,050 factors as 2 × 5^2 × 13 × 6397. Its 24 positive divisors give a proper-divisor sum of 4,172,146, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 6397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,330,196
Proper Divisor Sum 4,172,146
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4158041 ← → #4158053

Radix Representation

Decimal 4158050
Binary 1111110111001001100010 (22 bits)
Octal 0o17671142
Hexadecimal 0x3F7262

Divisor Catalog (24)

1 2 5 10 13 25 26 50 65 130 325 650 6,397 12,794 31,985 63,970 83,161 159,925 166,322 319,850 415,805 831,610 2,079,025 4,158,050

Collatz Trajectory (167 steps to reach 1)

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

4,158,050 2,079,025 6,237,076 3,118,538 1,559,269 4,677,808 2,338,904 1,169,452 584,726 292,363 877,090 438,545 1,315,636 657,818 328,909 986,728 493,364 246,682 123,341 370,024 185,012 92,506 46,253 138,760 69,380 34,690 17,345 52,036 26,018 13,009 39,028 19,514 9,757 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124

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