λ
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4,157,328

24 × 3 × 7 × 12373
Abundant Even Composite

4,157,328 factors as 2^4 × 3 × 7 × 12373. Its 40 positive divisors give a proper-divisor sum of 8,117,680, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 12373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,275,008
Proper Divisor Sum 8,117,680
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4157311 ← → #4157339

Radix Representation

Decimal 4157328
Binary 1111110110111110010000 (22 bits)
Octal 0o17667620
Hexadecimal 0x3F6F90

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 12,373 24,746 37,119 49,492 74,238 86,611 98,984 148,476 173,222 197,968 259,833 296,952 346,444 519,666 593,904 692,888 1,039,332 1,385,776 2,078,664 4,157,328

Collatz Trajectory (92 steps to reach 1)

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

4,157,328 2,078,664 1,039,332 519,666 259,833 779,500 389,750 194,875 584,626 292,313 876,940 438,470 219,235 657,706 328,853 986,560 493,280 246,640 123,320 61,660 30,830 15,415 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396

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