λ
Sigma Notebook

5,748,024

23 × 3 × 37 × 6473
Abundant Even Composite

5,748,024 is even and not a perfect square. Its factorization is 2^3 × 3 × 37 × 6473 and its 32 divisors sum to 14,760,720.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 6473
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,760,720
Proper Divisor Sum 9,012,696
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5748019 ← → #5748031

Radix Representation

Decimal 5748024
Binary 10101111011010100111000 (23 bits)
Octal 0o25732470
Hexadecimal 0x57B538

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 6,473 12,946 19,419 25,892 38,838 51,784 77,676 155,352 239,501 479,002 718,503 958,004 1,437,006 1,916,008 2,874,012 5,748,024

Collatz Trajectory (183 steps to reach 1)

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

5,748,024 2,874,012 1,437,006 718,503 2,155,510 1,077,755 3,233,266 1,616,633 4,849,900 2,424,950 1,212,475 3,637,426 1,818,713 5,456,140 2,728,070 1,364,035 4,092,106 2,046,053 6,138,160 3,069,080 1,534,540 767,270 383,635 1,150,906 575,453 1,726,360 863,180 431,590 215,795 647,386 323,693 971,080 485,540 242,770 121,385 364,156 182,078 91,039 273,118 136,559 409,678 204,839 614,518 307,259 921,778 460,889 1,382,668 691,334 345,667 1,037,002 518,501 1,555,504 777,752 388,876 194,438 97,219 291,658 145,829 437,488 218,744

More profiles

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