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Atlas › Integer Profiles › Node 49,329,054

49,329,054

2 × 33 × 19 × 48079
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 48079
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 115,392,000
Proper Divisor Sum 66,062,946
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #49329017 ← → #49329097

Radix Representation

Decimal 49329054
Binary 10111100001011001110011110 (26 bits)
Octal 0o274131636
Hexadecimal 0x2F0B39E

Divisor Catalog (32)

1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1,026 48,079 96,158 144,237 288,474 432,711 865,422 913,501 1,298,133 1,827,002 2,596,266 2,740,503 5,481,006 8,221,509 16,443,018 24,664,527 49,329,054

Collatz Trajectory (137 steps to reach 1)

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

49,329,054 24,664,527 73,993,582 36,996,791 110,990,374 55,495,187 166,485,562 83,242,781 249,728,344 124,864,172 62,432,086 31,216,043 93,648,130 46,824,065 140,472,196 70,236,098 35,118,049 105,354,148 52,677,074 26,338,537 79,015,612 39,507,806 19,753,903 59,261,710 29,630,855 88,892,566 44,446,283 133,338,850 66,669,425 200,008,276 100,004,138 50,002,069 150,006,208 75,003,104 37,501,552 18,750,776 9,375,388 4,687,694 2,343,847 7,031,542 3,515,771 10,547,314 5,273,657 15,820,972 7,910,486 3,955,243 11,865,730 5,932,865 17,798,596 8,899,298 4,449,649 13,348,948 6,674,474 3,337,237 10,011,712 5,005,856 2,502,928 1,251,464 625,732 312,866

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