λ
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4,139,540

22 × 5 × 23 × 8999
Abundant Even Composite

4,139,540 factors as 2^2 × 5 × 23 × 8999. Its 24 positive divisors give a proper-divisor sum of 4,932,460, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 8999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,072,000
Proper Divisor Sum 4,932,460
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4139539 ← → #4139557

Radix Representation

Decimal 4139540
Binary 1111110010101000010100 (22 bits)
Octal 0o17625024
Hexadecimal 0x3F2A14

Divisor Catalog (24)

1 2 4 5 10 20 23 46 92 115 230 460 8,999 17,998 35,996 44,995 89,990 179,980 206,977 413,954 827,908 1,034,885 2,069,770 4,139,540

Collatz Trajectory (136 steps to reach 1)

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

4,139,540 2,069,770 1,034,885 3,104,656 1,552,328 776,164 388,082 194,041 582,124 291,062 145,531 436,594 218,297 654,892 327,446 163,723 491,170 245,585 736,756 368,378 184,189 552,568 276,284 138,142 69,071 207,214 103,607 310,822 155,411 466,234 233,117 699,352 349,676 174,838 87,419 262,258 131,129 393,388 196,694 98,347 295,042 147,521 442,564 221,282 110,641 331,924 165,962 82,981 248,944 124,472 62,236 31,118 15,559 46,678 23,339 70,018 35,009 105,028 52,514 26,257

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