5,509,000

2³ × 5³ × 7 × 787

For 5,509,000, the 64 positive divisors have a total of 14,751,360. Removing 5,509,000 leaves 9,242,360, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 7 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 14,751,360

Proper Divisor Sum 9,242,360

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #5508991 ← → #5509001

Radix Representation

Decimal	5509000
Binary	10101000000111110001000 (23 bits)
Octal	0o25007610
Hexadecimal	0x540F88

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 787 875 1,000 1,400 1,574 1,750 3,148 3,500 3,935 5,509 6,296 7,000 7,870 11,018 15,740 19,675 22,036 27,545 31,480 39,350 44,072 55,090 78,700 98,375 110,180 137,725 157,400 196,750 220,360 275,450 393,500 550,900 688,625 787,000

Collatz Trajectory (201 steps to reach 1)

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

5,509,000 2,754,500 1,377,250 688,625 2,065,876 1,032,938 516,469 1,549,408 774,704 387,352 193,676 96,838 48,419 145,258 72,629 217,888 108,944 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991

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