73,109,092

2² × 7 × 2611039

73,109,092 factors as 2^2 × 7 × 2611039. Its 12 positive divisors give a proper-divisor sum of 73,109,148, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 2611039

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 146,218,240

Proper Divisor Sum 73,109,148

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #73109081 ← → #73109107

Radix Representation

Decimal	73109092
Binary	100010110111000111001100100 (27 bits)
Octal	0o426707144
Hexadecimal	0x45B8E64

Divisor Catalog (12)

1 2 4 7 14 28 2,611,039 5,222,078 10,444,156 18,277,273 36,554,546 73,109,092

Collatz Trajectory (83 steps to reach 1)

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

73,109,092 36,554,546 18,277,273 54,831,820 27,415,910 13,707,955 41,123,866 20,561,933 61,685,800 30,842,900 15,421,450 7,710,725 23,132,176 11,566,088 5,783,044 2,891,522 1,445,761 4,337,284 2,168,642 1,084,321 3,252,964 1,626,482 813,241 2,439,724 1,219,862 609,931 1,829,794 914,897 2,744,692 1,372,346 686,173 2,058,520 1,029,260 514,630 257,315 771,946 385,973 1,157,920 578,960 289,480 144,740 72,370 36,185 108,556 54,278 27,139 81,418 40,709 122,128 61,064 30,532 15,266 7,633 22,900 11,450 5,725 17,176 8,588 4,294 2,147

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