λ
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28,957,520

24 × 5 × 19 × 19051
Abundant Even Composite

28,957,520 factors as 2^4 × 5 × 19 × 19051. Its 40 positive divisors give a proper-divisor sum of 41,915,920, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 19 × 19051
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 70,873,440
Proper Divisor Sum 41,915,920
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #28957471 ← → #28957531

Radix Representation

Decimal 28957520
Binary 1101110011101101101010000 (25 bits)
Octal 0o156355520
Hexadecimal 0x1B9DB50

Divisor Catalog (40)

1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1,520 19,051 38,102 76,204 95,255 152,408 190,510 304,816 361,969 381,020 723,938 762,040 1,447,876 1,524,080 1,809,845 2,895,752 3,619,690 5,791,504 7,239,380 14,478,760 28,957,520

Collatz Trajectory (144 steps to reach 1)

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

28,957,520 14,478,760 7,239,380 3,619,690 1,809,845 5,429,536 2,714,768 1,357,384 678,692 339,346 169,673 509,020 254,510 127,255 381,766 190,883 572,650 286,325 858,976 429,488 214,744 107,372 53,686 26,843 80,530 40,265 120,796 60,398 30,199 90,598 45,299 135,898 67,949 203,848 101,924 50,962 25,481 76,444 38,222 19,111 57,334 28,667 86,002 43,001 129,004 64,502 32,251 96,754 48,377 145,132 72,566 36,283 108,850 54,425 163,276 81,638 40,819 122,458 61,229 183,688

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