λ
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Atlas › Integer Profiles › Node 12,368,620

12,368,620

22 × 5 × 112 × 19 × 269
Abundant Even Composite

12,368,620 factors as 2^2 × 5 × 11^2 × 19 × 269. Its 72 positive divisors give a proper-divisor sum of 17,795,780, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11^2 × 19 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 30,164,400
Proper Divisor Sum 17,795,780
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #12368599 ← → #12368621

Radix Representation

Decimal 12368620
Binary 101111001011101011101100 (24 bits)
Octal 0o57135354
Hexadecimal 0xBCBAEC

Divisor Catalog (60 of 72)

1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 269 380 418 484 538 605 836 1,045 1,076 1,210 1,345 2,090 2,299 2,420 2,690 2,959 4,180 4,598 5,111 5,380 5,918 9,196 10,222 11,495 11,836 14,795 20,444 22,990 25,555 29,590 32,549 45,980 51,110 56,221 59,180 65,098 102,220 112,442 130,196 162,745

Collatz Trajectory (166 steps to reach 1)

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

12,368,620 6,184,310 3,092,155 9,276,466 4,638,233 13,914,700 6,957,350 3,478,675 10,436,026 5,218,013 15,654,040 7,827,020 3,913,510 1,956,755 5,870,266 2,935,133 8,805,400 4,402,700 2,201,350 1,100,675 3,302,026 1,651,013 4,953,040 2,476,520 1,238,260 619,130 309,565 928,696 464,348 232,174 116,087 348,262 174,131 522,394 261,197 783,592 391,796 195,898 97,949 293,848 146,924 73,462 36,731 110,194 55,097 165,292 82,646 41,323 123,970 61,985 185,956 92,978 46,489 139,468 69,734 34,867 104,602 52,301 156,904 78,452

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