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Atlas › Integer Profiles › Node 13,161,566

13,161,566

2 × 11 × 19 × 23 × 372
Deficient Even Composite

13,161,566 factors as 2 × 11 × 19 × 23 × 37^2. Its 48 positive divisors give a proper-divisor sum of 11,151,394, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 11 × 19 × 23 × 37^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,312,960
Proper Divisor Sum 11,151,394
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #13161527 ← → #13161583

Radix Representation

Decimal 13161566
Binary 110010001101010001011110 (24 bits)
Octal 0o62152136
Hexadecimal 0xC8D45E

Divisor Catalog (48)

1 2 11 19 22 23 37 38 46 74 209 253 407 418 437 506 703 814 851 874 1,369 1,406 1,702 2,738 4,807 7,733 9,361 9,614 15,059 15,466 16,169 18,722 26,011 30,118 31,487 32,338 52,022 62,974 177,859 286,121 346,357 355,718 572,242 598,253 692,714 1,196,506 6,580,783 13,161,566

Collatz Trajectory (210 steps to reach 1)

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

13,161,566 6,580,783 19,742,350 9,871,175 29,613,526 14,806,763 44,420,290 22,210,145 66,630,436 33,315,218 16,657,609 49,972,828 24,986,414 12,493,207 37,479,622 18,739,811 56,219,434 28,109,717 84,329,152 42,164,576 21,082,288 10,541,144 5,270,572 2,635,286 1,317,643 3,952,930 1,976,465 5,929,396 2,964,698 1,482,349 4,447,048 2,223,524 1,111,762 555,881 1,667,644 833,822 416,911 1,250,734 625,367 1,876,102 938,051 2,814,154 1,407,077 4,221,232 2,110,616 1,055,308 527,654 263,827 791,482 395,741 1,187,224 593,612 296,806 148,403 445,210 222,605 667,816 333,908 166,954 83,477

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