8,367,123

3 × 97 × 28753

8,367,123 factors as 3 × 97 × 28753. Its 8 positive divisors give a proper-divisor sum of 2,904,445, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3 × 97 × 28753

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,271,568

Proper Divisor Sum 2,904,445

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8367119 ← → #8367133

Radix Representation

Decimal	8367123
Binary	11111111010110000010011 (23 bits)
Octal	0o37726023
Hexadecimal	0x7FAC13

Divisor Catalog (8)

1 3 97 291 28,753 86,259 2,789,041 8,367,123

Collatz Trajectory (137 steps to reach 1)

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

8,367,123 25,101,370 12,550,685 37,652,056 18,826,028 9,413,014 4,706,507 14,119,522 7,059,761 21,179,284 10,589,642 5,294,821 15,884,464 7,942,232 3,971,116 1,985,558 992,779 2,978,338 1,489,169 4,467,508 2,233,754 1,116,877 3,350,632 1,675,316 837,658 418,829 1,256,488 628,244 314,122 157,061 471,184 235,592 117,796 58,898 29,449 88,348 44,174 22,087 66,262 33,131 99,394 49,697 149,092 74,546 37,273 111,820 55,910 27,955 83,866 41,933 125,800 62,900 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846

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