73,108,120

2³ × 5 × 1827703

73,108,120 factors as 2^3 × 5 × 1827703. Its 16 positive divisors give a proper-divisor sum of 91,385,240, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 1827703

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 164,493,360

Proper Divisor Sum 91,385,240

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #73108117 ← → #73108121

Radix Representation

Decimal	73108120
Binary	100010110111000101010011000 (27 bits)
Octal	0o426705230
Hexadecimal	0x45B8A98

Divisor Catalog (16)

1 2 4 5 8 10 20 40 1,827,703 3,655,406 7,310,812 9,138,515 14,621,624 18,277,030 36,554,060 73,108,120

Collatz Trajectory (166 steps to reach 1)

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

73,108,120 36,554,060 18,277,030 9,138,515 27,415,546 13,707,773 41,123,320 20,561,660 10,280,830 5,140,415 15,421,246 7,710,623 23,131,870 11,565,935 34,697,806 17,348,903 52,046,710 26,023,355 78,070,066 39,035,033 117,105,100 58,552,550 29,276,275 87,828,826 43,914,413 131,743,240 65,871,620 32,935,810 16,467,905 49,403,716 24,701,858 12,350,929 37,052,788 18,526,394 9,263,197 27,789,592 13,894,796 6,947,398 3,473,699 10,421,098 5,210,549 15,631,648 7,815,824 3,907,912 1,953,956 976,978 488,489 1,465,468 732,734 366,367 1,099,102 549,551 1,648,654 824,327 2,472,982 1,236,491 3,709,474 1,854,737 5,564,212 2,782,106

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