λ
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Atlas › Integer Profiles › Node 11,639,817

11,639,817

32 × 7 × 23 × 29 × 277
Deficient Odd Composite

11,639,817 factors as 3^2 × 7 × 23 × 29 × 277. Its 48 positive divisors give a proper-divisor sum of 9,176,823, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 23 × 29 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,816,640
Proper Divisor Sum 9,176,823
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11639813 ← → #11639819

Radix Representation

Decimal 11639817
Binary 101100011001110000001001 (24 bits)
Octal 0o54316011
Hexadecimal 0xB19C09

Divisor Catalog (48)

1 3 7 9 21 23 29 63 69 87 161 203 207 261 277 483 609 667 831 1,449 1,827 1,939 2,001 2,493 4,669 5,817 6,003 6,371 8,033 14,007 17,451 19,113 24,099 42,021 44,597 56,231 57,339 72,297 133,791 168,693 184,759 401,373 506,079 554,277 1,293,313 1,662,831 3,879,939 11,639,817

Collatz Trajectory (140 steps to reach 1)

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

11,639,817 34,919,452 17,459,726 8,729,863 26,189,590 13,094,795 39,284,386 19,642,193 58,926,580 29,463,290 14,731,645 44,194,936 22,097,468 11,048,734 5,524,367 16,573,102 8,286,551 24,859,654 12,429,827 37,289,482 18,644,741 55,934,224 27,967,112 13,983,556 6,991,778 3,495,889 10,487,668 5,243,834 2,621,917 7,865,752 3,932,876 1,966,438 983,219 2,949,658 1,474,829 4,424,488 2,212,244 1,106,122 553,061 1,659,184 829,592 414,796 207,398 103,699 311,098 155,549 466,648 233,324 116,662 58,331 174,994 87,497 262,492 131,246 65,623 196,870 98,435 295,306 147,653 442,960

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