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Atlas › Integer Profiles › Node 11,634,372

11,634,372

22 × 32 × 131 × 2467
Abundant Even Composite

11,634,372 factors as 2^2 × 3^2 × 131 × 2467. Its 36 positive divisors give a proper-divisor sum of 18,011,244, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 131 × 2467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 29,645,616
Proper Divisor Sum 18,011,244
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11634361 ← → #11634397

Radix Representation

Decimal 11634372
Binary 101100011000011011000100 (24 bits)
Octal 0o54303304
Hexadecimal 0xB186C4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 131 262 393 524 786 1,179 1,572 2,358 2,467 4,716 4,934 7,401 9,868 14,802 22,203 29,604 44,406 88,812 323,177 646,354 969,531 1,292,708 1,939,062 2,908,593 3,878,124 5,817,186 11,634,372

Collatz Trajectory (153 steps to reach 1)

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

11,634,372 5,817,186 2,908,593 8,725,780 4,362,890 2,181,445 6,544,336 3,272,168 1,636,084 818,042 409,021 1,227,064 613,532 306,766 153,383 460,150 230,075 690,226 345,113 1,035,340 517,670 258,835 776,506 388,253 1,164,760 582,380 291,190 145,595 436,786 218,393 655,180 327,590 163,795 491,386 245,693 737,080 368,540 184,270 92,135 276,406 138,203 414,610 207,305 621,916 310,958 155,479 466,438 233,219 699,658 349,829 1,049,488 524,744 262,372 131,186 65,593 196,780 98,390 49,195 147,586 73,793

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