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Atlas › Integer Profiles › Node 11,628,848

11,628,848

24 × 7 × 11 × 9439
Abundant Even Composite

11,628,848 factors as 2^4 × 7 × 11 × 9439. Its 40 positive divisors give a proper-divisor sum of 16,464,592, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 9439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 28,093,440
Proper Divisor Sum 16,464,592
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #11628847 ← → #11628907

Radix Representation

Decimal 11628848
Binary 101100010111000100110000 (24 bits)
Octal 0o54270460
Hexadecimal 0xB17130

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1,232 9,439 18,878 37,756 66,073 75,512 103,829 132,146 151,024 207,658 264,292 415,316 528,584 726,803 830,632 1,057,168 1,453,606 1,661,264 2,907,212 5,814,424 11,628,848

Collatz Trajectory (109 steps to reach 1)

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

11,628,848 5,814,424 2,907,212 1,453,606 726,803 2,180,410 1,090,205 3,270,616 1,635,308 817,654 408,827 1,226,482 613,241 1,839,724 919,862 459,931 1,379,794 689,897 2,069,692 1,034,846 517,423 1,552,270 776,135 2,328,406 1,164,203 3,492,610 1,746,305 5,238,916 2,619,458 1,309,729 3,929,188 1,964,594 982,297 2,946,892 1,473,446 736,723 2,210,170 1,105,085 3,315,256 1,657,628 828,814 414,407 1,243,222 621,611 1,864,834 932,417 2,797,252 1,398,626 699,313 2,097,940 1,048,970 524,485 1,573,456 786,728 393,364 196,682 98,341 295,024 147,512 73,756

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