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Atlas › Integer Profiles › Node 11,636,292

11,636,292

22 × 3 × 41 × 67 × 353
Abundant Even Composite

11,636,292 factors as 2^2 × 3 × 41 × 67 × 353. Its 48 positive divisors give a proper-divisor sum of 16,672,380, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 67 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,308,672
Proper Divisor Sum 16,672,380
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11636269 ← → #11636297

Radix Representation

Decimal 11636292
Binary 101100011000111001000100 (24 bits)
Octal 0o54307104
Hexadecimal 0xB18E44

Divisor Catalog (48)

1 2 3 4 6 12 41 67 82 123 134 164 201 246 268 353 402 492 706 804 1,059 1,412 2,118 2,747 4,236 5,494 8,241 10,988 14,473 16,482 23,651 28,946 32,964 43,419 47,302 57,892 70,953 86,838 94,604 141,906 173,676 283,812 969,691 1,939,382 2,909,073 3,878,764 5,818,146 11,636,292

Collatz Trajectory (215 steps to reach 1)

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

11,636,292 5,818,146 2,909,073 8,727,220 4,363,610 2,181,805 6,545,416 3,272,708 1,636,354 818,177 2,454,532 1,227,266 613,633 1,840,900 920,450 460,225 1,380,676 690,338 345,169 1,035,508 517,754 258,877 776,632 388,316 194,158 97,079 291,238 145,619 436,858 218,429 655,288 327,644 163,822 81,911 245,734 122,867 368,602 184,301 552,904 276,452 138,226 69,113 207,340 103,670 51,835 155,506 77,753 233,260 116,630 58,315 174,946 87,473 262,420 131,210 65,605 196,816 98,408 49,204 24,602 12,301

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