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Atlas › Integer Profiles › Node 12,076,328

12,076,328

23 × 11 × 109 × 1259
Abundant Even Composite

12,076,328 factors as 2^3 × 11 × 109 × 1259. Its 32 positive divisors give a proper-divisor sum of 12,871,672, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 109 × 1259
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,948,000
Proper Divisor Sum 12,871,672
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #12076313 ← → #12076331

Radix Representation

Decimal 12076328
Binary 101110000100010100101000 (24 bits)
Octal 0o56042450
Hexadecimal 0xB84528

Divisor Catalog (32)

1 2 4 8 11 22 44 88 109 218 436 872 1,199 1,259 2,398 2,518 4,796 5,036 9,592 10,072 13,849 27,698 55,396 110,792 137,231 274,462 548,924 1,097,848 1,509,541 3,019,082 6,038,164 12,076,328

Collatz Trajectory (215 steps to reach 1)

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

12,076,328 6,038,164 3,019,082 1,509,541 4,528,624 2,264,312 1,132,156 566,078 283,039 849,118 424,559 1,273,678 636,839 1,910,518 955,259 2,865,778 1,432,889 4,298,668 2,149,334 1,074,667 3,224,002 1,612,001 4,836,004 2,418,002 1,209,001 3,627,004 1,813,502 906,751 2,720,254 1,360,127 4,080,382 2,040,191 6,120,574 3,060,287 9,180,862 4,590,431 13,771,294 6,885,647 20,656,942 10,328,471 30,985,414 15,492,707 46,478,122 23,239,061 69,717,184 34,858,592 17,429,296 8,714,648 4,357,324 2,178,662 1,089,331 3,267,994 1,633,997 4,901,992 2,450,996 1,225,498 612,749 1,838,248 919,124 459,562

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