5,004,240

2⁴ × 3 × 5 × 29 × 719

5,004,240 is even and not a perfect square. Its factorization is 2^4 × 3 × 5 × 29 × 719 and its 80 divisors sum to 16,070,400.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 29 × 719

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 16,070,400

Proper Divisor Sum 11,066,160

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #5004227 ← → #5004281

Radix Representation

Decimal	5004240
Binary	10011000101101111010000 (23 bits)
Octal	0o23055720
Hexadecimal	0x4C5BD0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 719 870 1,160 1,392 1,438 1,740 2,157 2,320 2,876 3,480 3,595 4,314 5,752 6,960 7,190 8,628 10,785 11,504 14,380 17,256 20,851 21,570 28,760 34,512 41,702 43,140 57,520

Collatz Trajectory (113 steps to reach 1)

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

5,004,240 2,502,120 1,251,060 625,530 312,765 938,296 469,148 234,574 117,287 351,862 175,931 527,794 263,897 791,692 395,846 197,923 593,770 296,885 890,656 445,328 222,664 111,332 55,666 27,833 83,500 41,750 20,875 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750

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