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Atlas › Integer Profiles › Node 7,615,230

7,615,230

2 × 3 × 5 × 7 × 36263
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 36263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,888,064
Proper Divisor Sum 13,272,834
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7615211 ← → #7615249

Radix Representation

Decimal 7615230
Binary 11101000011001011111110 (23 bits)
Octal 0o35031376
Hexadecimal 0x7432FE

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 36,263 72,526 108,789 181,315 217,578 253,841 362,630 507,682 543,945 761,523 1,087,890 1,269,205 1,523,046 2,538,410 3,807,615 7,615,230

Collatz Trajectory (155 steps to reach 1)

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

7,615,230 3,807,615 11,422,846 5,711,423 17,134,270 8,567,135 25,701,406 12,850,703 38,552,110 19,276,055 57,828,166 28,914,083 86,742,250 43,371,125 130,113,376 65,056,688 32,528,344 16,264,172 8,132,086 4,066,043 12,198,130 6,099,065 18,297,196 9,148,598 4,574,299 13,722,898 6,861,449 20,584,348 10,292,174 5,146,087 15,438,262 7,719,131 23,157,394 11,578,697 34,736,092 17,368,046 8,684,023 26,052,070 13,026,035 39,078,106 19,539,053 58,617,160 29,308,580 14,654,290 7,327,145 21,981,436 10,990,718 5,495,359 16,486,078 8,243,039 24,729,118 12,364,559 37,093,678 18,546,839 55,640,518 27,820,259 83,460,778 41,730,389 125,191,168 62,595,584

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