8,082,847

19 × 31 × 13723

8,082,847 factors as 19 × 31 × 13723. Its 8 positive divisors give a proper-divisor sum of 700,513, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 19 × 31 × 13723

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,783,360

Proper Divisor Sum 700,513

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8082829 ← → #8082857

Radix Representation

Decimal	8082847
Binary	11110110101010110011111 (23 bits)
Octal	0o36652637
Hexadecimal	0x7B559F

Divisor Catalog (8)

1 19 31 589 13,723 260,737 425,413 8,082,847

Collatz Trajectory (137 steps to reach 1)

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

8,082,847 24,248,542 12,124,271 36,372,814 18,186,407 54,559,222 27,279,611 81,838,834 40,919,417 122,758,252 61,379,126 30,689,563 92,068,690 46,034,345 138,103,036 69,051,518 34,525,759 103,577,278 51,788,639 155,365,918 77,682,959 233,048,878 116,524,439 349,573,318 174,786,659 524,359,978 262,179,989 786,539,968 393,269,984 196,634,992 98,317,496 49,158,748 24,579,374 12,289,687 36,869,062 18,434,531 55,303,594 27,651,797 82,955,392 41,477,696 20,738,848 10,369,424 5,184,712 2,592,356 1,296,178 648,089 1,944,268 972,134 486,067 1,458,202 729,101 2,187,304 1,093,652 546,826 273,413 820,240 410,120 205,060 102,530 51,265

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