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Atlas › Integer Profiles › Node 11,086,816

11,086,816

25 × 13 × 29 × 919
Abundant Even Composite

11,086,816 factors as 2^5 × 13 × 29 × 919. Its 48 positive divisors give a proper-divisor sum of 13,256,384, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 29 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,343,200
Proper Divisor Sum 13,256,384
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #11086813 ← → #11086837

Radix Representation

Decimal 11086816
Binary 101010010010101111100000 (24 bits)
Octal 0o52225740
Hexadecimal 0xA92BE0

Divisor Catalog (48)

1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 919 928 1,508 1,838 3,016 3,676 6,032 7,352 11,947 12,064 14,704 23,894 26,651 29,408 47,788 53,302 95,576 106,604 191,152 213,208 346,463 382,304 426,416 692,926 852,832 1,385,852 2,771,704 5,543,408 11,086,816

Collatz Trajectory (189 steps to reach 1)

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

11,086,816 5,543,408 2,771,704 1,385,852 692,926 346,463 1,039,390 519,695 1,559,086 779,543 2,338,630 1,169,315 3,507,946 1,753,973 5,261,920 2,630,960 1,315,480 657,740 328,870 164,435 493,306 246,653 739,960 369,980 184,990 92,495 277,486 138,743 416,230 208,115 624,346 312,173 936,520 468,260 234,130 117,065 351,196 175,598 87,799 263,398 131,699 395,098 197,549 592,648 296,324 148,162 74,081 222,244 111,122 55,561 166,684 83,342 41,671 125,014 62,507 187,522 93,761 281,284 140,642 70,321

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