1,013,760

2¹¹ × 3² × 5 × 11

1,013,760 is even and not a perfect square. Its factorization is 2^11 × 3^2 × 5 × 11 and its 144 divisors sum to 3,832,920.

Prime Factor Structure

Factorization String 2^11 × 3^2 × 5 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 3,832,920

Proper Divisor Sum 2,819,160

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1013741 ← → #1013767

Radix Representation

Decimal	1013760
Binary	11110111100000000000 (20 bits)
Octal	0o3674000
Hexadecimal	0xF7800

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 80 88 90 96 99 110 120 128 132 144 160 165 176 180 192 198 220 240 256 264 288 320 330 352 360 384 396 440 480 495

Collatz Trajectory (108 steps to reach 1)

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

1,013,760 506,880 253,440 126,720 63,360 31,680 15,840 7,920 3,960 1,980 990 495 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078

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