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Atlas › Integer Profiles › Node 30,096,036

30,096,036

22 × 36 × 10321
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^6 × 10321
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 78,973,622
Proper Divisor Sum 48,877,586
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #30096013 ← → #30096041

Radix Representation

Decimal 30096036
Binary 1110010110011101010100100 (25 bits)
Octal 0o162635244
Hexadecimal 0x1CB3AA4

Divisor Catalog (42)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1,458 2,916 10,321 20,642 30,963 41,284 61,926 92,889 123,852 185,778 278,667 371,556 557,334 836,001 1,114,668 1,672,002 2,508,003 3,344,004 5,016,006 7,524,009 10,032,012 15,048,018 30,096,036

Collatz Trajectory (188 steps to reach 1)

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

30,096,036 15,048,018 7,524,009 22,572,028 11,286,014 5,643,007 16,929,022 8,464,511 25,393,534 12,696,767 38,090,302 19,045,151 57,135,454 28,567,727 85,703,182 42,851,591 128,554,774 64,277,387 192,832,162 96,416,081 289,248,244 144,624,122 72,312,061 216,936,184 108,468,092 54,234,046 27,117,023 81,351,070 40,675,535 122,026,606 61,013,303 183,039,910 91,519,955 274,559,866 137,279,933 411,839,800 205,919,900 102,959,950 51,479,975 154,439,926 77,219,963 231,659,890 115,829,945 347,489,836 173,744,918 86,872,459 260,617,378 130,308,689 390,926,068 195,463,034 97,731,517 293,194,552 146,597,276 73,298,638 36,649,319 109,947,958 54,973,979 164,921,938 82,460,969 247,382,908

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