7,942,232

2³ × 769 × 1291

7,942,232 factors as 2^3 × 769 × 1291. Its 16 positive divisors give a proper-divisor sum of 6,980,368, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 769 × 1291

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,922,600

Proper Divisor Sum 6,980,368

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7942223 ← → #7942243

Radix Representation

Decimal	7942232
Binary	11110010011000001011000 (23 bits)
Octal	0o36230130
Hexadecimal	0x793058

Divisor Catalog (16)

1 2 4 8 769 1,291 1,538 2,582 3,076 5,164 6,152 10,328 992,779 1,985,558 3,971,116 7,942,232

Collatz Trajectory (124 steps to reach 1)

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

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 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399

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