λ
Integer Codex

1,311,570

2 × 32 × 5 × 13 × 19 × 59
Abundant Even Composite

For 1,311,570, the 96 positive divisors have a total of 3,931,200. Removing 1,311,570 leaves 2,619,630, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 19 × 59
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 3,931,200
Proper Divisor Sum 2,619,630
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1311559 ← → #1311577

Radix Representation

Decimal 1311570
Binary 101000000001101010010 (21 bits)
Octal 0o5001522
Hexadecimal 0x140352

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 59 65 78 90 95 114 117 118 130 171 177 190 195 234 247 285 295 342 354 390 494 531 570 585 590 741 767 855 885 1,062 1,121 1,170 1,235 1,482 1,534 1,710 1,770 2,223 2,242 2,301 2,470 2,655 3,363

Collatz Trajectory (124 steps to reach 1)

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

1,311,570 655,785 1,967,356 983,678 491,839 1,475,518 737,759 2,213,278 1,106,639 3,319,918 1,659,959 4,979,878 2,489,939 7,469,818 3,734,909 11,204,728 5,602,364 2,801,182 1,400,591 4,201,774 2,100,887 6,302,662 3,151,331 9,453,994 4,726,997 14,180,992 7,090,496 3,545,248 1,772,624 886,312 443,156 221,578 110,789 332,368 166,184 83,092 41,546 20,773 62,320 31,160 15,580 7,790 3,895 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387

More profiles

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