1,189,760

2⁷ × 5 × 11 × 13²

1,189,760 is even and not a perfect square. Its factorization is 2^7 × 5 × 11 × 13^2 and its 96 divisors sum to 3,359,880.

Prime Factor Structure

Factorization String 2^7 × 5 × 11 × 13^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 3,359,880

Proper Divisor Sum 2,170,120

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1189759 ← → #1189763

Radix Representation

Decimal	1189760
Binary	100100010011110000000 (21 bits)
Octal	0o4423600
Hexadecimal	0x122780

Divisor Catalog (60 of 96)

1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 169 176 208 220 260 286 320 338 352 416 440 520 572 640 676 704 715 832 845 880 1,040 1,144 1,352 1,408 1,430 1,664 1,690 1,760 1,859 2,080 2,288 2,704 2,860

Collatz Trajectory (67 steps to reach 1)

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

1,189,760 594,880 297,440 148,720 74,360 37,180 18,590 9,295 27,886 13,943 41,830 20,915 62,746 31,373 94,120 47,060 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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