λ
Sigma Notebook

1,797,760

27 × 5 × 532
Abundant Even Composite

1,797,760 is even and not a perfect square. Its factorization is 2^7 × 5 × 53^2 and its 48 divisors sum to 4,380,390.

Prime Factor Structure

Factorization String 2^7 × 5 × 53^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,380,390
Proper Divisor Sum 2,582,630
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1797751 ← → #1797769

Radix Representation

Decimal 1797760
Binary 110110110111010000000 (21 bits)
Octal 0o6667200
Hexadecimal 0x1B6E80

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 530 640 848 1,060 1,696 2,120 2,809 3,392 4,240 5,618 6,784 8,480 11,236 14,045 16,960 22,472 28,090 33,920 44,944 56,180 89,888 112,360 179,776 224,720 359,552 449,440 898,880 1,797,760

Collatz Trajectory (52 steps to reach 1)

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

1,797,760 898,880 449,440 224,720 112,360 56,180 28,090 14,045 42,136 21,068 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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