82,801,437

3 × 449 × 61471

82,801,437 factors as 3 × 449 × 61471. Its 8 positive divisors give a proper-divisor sum of 27,848,163, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3 × 449 × 61471

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 110,649,600

Proper Divisor Sum 27,848,163

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #82801421 ← → #82801457

Radix Representation

Decimal	82801437
Binary	100111011110111001100011101 (27 bits)
Octal	0o473671435
Hexadecimal	0x4EF731D

Divisor Catalog (8)

1 3 449 1,347 61,471 184,413 27,600,479 82,801,437

Collatz Trajectory (161 steps to reach 1)

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

82,801,437 248,404,312 124,202,156 62,101,078 31,050,539 93,151,618 46,575,809 139,727,428 69,863,714 34,931,857 104,795,572 52,397,786 26,198,893 78,596,680 39,298,340 19,649,170 9,824,585 29,473,756 14,736,878 7,368,439 22,105,318 11,052,659 33,157,978 16,578,989 49,736,968 24,868,484 12,434,242 6,217,121 18,651,364 9,325,682 4,662,841 13,988,524 6,994,262 3,497,131 10,491,394 5,245,697 15,737,092 7,868,546 3,934,273 11,802,820 5,901,410 2,950,705 8,852,116 4,426,058 2,213,029 6,639,088 3,319,544 1,659,772 829,886 414,943 1,244,830 622,415 1,867,246 933,623 2,800,870 1,400,435 4,201,306 2,100,653 6,301,960 3,150,980

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