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Atlas › Integer Profiles › Node 12,323,600

12,323,600

24 × 52 × 30809
Abundant Even Composite

12,323,600 factors as 2^4 × 5^2 × 30809. Its 30 positive divisors give a proper-divisor sum of 17,284,810, so this integer is abundant. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 30809
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 29,608,410
Proper Divisor Sum 17,284,810
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #12323593 ← → #12323611

Radix Representation

Decimal 12323600
Binary 101111000000101100010000 (24 bits)
Octal 0o57005420
Hexadecimal 0xBC0B10

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30,809 61,618 123,236 154,045 246,472 308,090 492,944 616,180 770,225 1,232,360 1,540,450 2,464,720 3,080,900 6,161,800 12,323,600

Collatz Trajectory (228 steps to reach 1)

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

12,323,600 6,161,800 3,080,900 1,540,450 770,225 2,310,676 1,155,338 577,669 1,733,008 866,504 433,252 216,626 108,313 324,940 162,470 81,235 243,706 121,853 365,560 182,780 91,390 45,695 137,086 68,543 205,630 102,815 308,446 154,223 462,670 231,335 694,006 347,003 1,041,010 520,505 1,561,516 780,758 390,379 1,171,138 585,569 1,756,708 878,354 439,177 1,317,532 658,766 329,383 988,150 494,075 1,482,226 741,113 2,223,340 1,111,670 555,835 1,667,506 833,753 2,501,260 1,250,630 625,315 1,875,946 937,973 2,813,920

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