7,642,027

17² × 31 × 853

7,642,027 factors as 17^2 × 31 × 853. Its 12 positive divisors give a proper-divisor sum of 747,669, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 17^2 × 31 × 853

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,389,696

Proper Divisor Sum 747,669

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7642013 ← → #7642039

Radix Representation

Decimal	7642027
Binary	11101001001101110101011 (23 bits)
Octal	0o35115653
Hexadecimal	0x749BAB

Divisor Catalog (12)

1 17 31 289 527 853 8,959 14,501 26,443 246,517 449,531 7,642,027

Collatz Trajectory (80 steps to reach 1)

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

7,642,027 22,926,082 11,463,041 34,389,124 17,194,562 8,597,281 25,791,844 12,895,922 6,447,961 19,343,884 9,671,942 4,835,971 14,507,914 7,253,957 21,761,872 10,880,936 5,440,468 2,720,234 1,360,117 4,080,352 2,040,176 1,020,088 510,044 255,022 127,511 382,534 191,267 573,802 286,901 860,704 430,352 215,176 107,588 53,794 26,897 80,692 40,346 20,173 60,520 30,260 15,130 7,565 22,696 11,348 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38

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