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Atlas › Integer Profiles › Node 72,025,188

72,025,188

22 × 3 × 151 × 39749
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 151 × 39749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 169,176,000
Proper Divisor Sum 97,150,812
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #72025139 ← → #72025189

Radix Representation

Decimal 72025188
Binary 100010010110000010001100100 (27 bits)
Octal 0o422602144
Hexadecimal 0x44B0464

Divisor Catalog (24)

1 2 3 4 6 12 151 302 453 604 906 1,812 39,749 79,498 119,247 158,996 238,494 476,988 6,002,099 12,004,198 18,006,297 24,008,396 36,012,594 72,025,188

Collatz Trajectory (140 steps to reach 1)

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

72,025,188 36,012,594 18,006,297 54,018,892 27,009,446 13,504,723 40,514,170 20,257,085 60,771,256 30,385,628 15,192,814 7,596,407 22,789,222 11,394,611 34,183,834 17,091,917 51,275,752 25,637,876 12,818,938 6,409,469 19,228,408 9,614,204 4,807,102 2,403,551 7,210,654 3,605,327 10,815,982 5,407,991 16,223,974 8,111,987 24,335,962 12,167,981 36,503,944 18,251,972 9,125,986 4,562,993 13,688,980 6,844,490 3,422,245 10,266,736 5,133,368 2,566,684 1,283,342 641,671 1,925,014 962,507 2,887,522 1,443,761 4,331,284 2,165,642 1,082,821 3,248,464 1,624,232 812,116 406,058 203,029 609,088 304,544 152,272 76,136

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