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Atlas › Integer Profiles › Node 73,096,152

73,096,152

23 × 3 × 491 × 6203
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 491 × 6203
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 183,142,080
Proper Divisor Sum 110,045,928
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #73096151 ← → #73096159

Radix Representation

Decimal 73096152
Binary 100010110110101101111011000 (27 bits)
Octal 0o426655730
Hexadecimal 0x45B5BD8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 491 982 1,473 1,964 2,946 3,928 5,892 6,203 11,784 12,406 18,609 24,812 37,218 49,624 74,436 148,872 3,045,673 6,091,346 9,137,019 12,182,692 18,274,038 24,365,384 36,548,076 73,096,152

Collatz Trajectory (241 steps to reach 1)

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

73,096,152 36,548,076 18,274,038 9,137,019 27,411,058 13,705,529 41,116,588 20,558,294 10,279,147 30,837,442 15,418,721 46,256,164 23,128,082 11,564,041 34,692,124 17,346,062 8,673,031 26,019,094 13,009,547 39,028,642 19,514,321 58,542,964 29,271,482 14,635,741 43,907,224 21,953,612 10,976,806 5,488,403 16,465,210 8,232,605 24,697,816 12,348,908 6,174,454 3,087,227 9,261,682 4,630,841 13,892,524 6,946,262 3,473,131 10,419,394 5,209,697 15,629,092 7,814,546 3,907,273 11,721,820 5,860,910 2,930,455 8,791,366 4,395,683 13,187,050 6,593,525 19,780,576 9,890,288 4,945,144 2,472,572 1,236,286 618,143 1,854,430 927,215 2,781,646

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