λ
Sigma Notebook

1,096,680

23 × 3 × 5 × 13 × 19 × 37
Abundant Even Composite

1,096,680 is even and not a perfect square. Its factorization is 2^3 × 3 × 5 × 13 × 19 × 37 and its 128 divisors sum to 3,830,400.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 19 × 37
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 3,830,400
Proper Divisor Sum 2,733,720
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1096673 ← → #1096691

Radix Representation

Decimal 1096680
Binary 100001011101111101000 (21 bits)
Octal 0o4135750
Hexadecimal 0x10BBE8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 37 38 39 40 52 57 60 65 74 76 78 95 104 111 114 120 130 148 152 156 185 190 195 222 228 247 260 285 296 312 370 380 390 444 456 481 494 520 555 570 703 740 741 760

Collatz Trajectory (59 steps to reach 1)

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

1,096,680 548,340 274,170 137,085 411,256 205,628 102,814 51,407 154,222 77,111 231,334 115,667 347,002 173,501 520,504 260,252 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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