λ
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Atlas › Integer Profiles › Node 6,132,336

6,132,336

24 × 3 × 7 × 18251
Abundant Even Composite

6,132,336 factors as 2^4 × 3 × 7 × 18251. Its 40 positive divisors give a proper-divisor sum of 11,973,648, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 18251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,105,984
Proper Divisor Sum 11,973,648
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6132319 ← → #6132337

Radix Representation

Decimal 6132336
Binary 10111011001001001110000 (23 bits)
Octal 0o27311160
Hexadecimal 0x5D9270

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 18,251 36,502 54,753 73,004 109,506 127,757 146,008 219,012 255,514 292,016 383,271 438,024 511,028 766,542 876,048 1,022,056 1,533,084 2,044,112 3,066,168 6,132,336

Collatz Trajectory (152 steps to reach 1)

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

6,132,336 3,066,168 1,533,084 766,542 383,271 1,149,814 574,907 1,724,722 862,361 2,587,084 1,293,542 646,771 1,940,314 970,157 2,910,472 1,455,236 727,618 363,809 1,091,428 545,714 272,857 818,572 409,286 204,643 613,930 306,965 920,896 460,448 230,224 115,112 57,556 28,778 14,389 43,168 21,584 10,792 5,396 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182

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