82,843,013

11² × 71 × 9643

82,843,013 factors as 11^2 × 71 × 9643. Its 12 positive divisors give a proper-divisor sum of 9,507,931, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 11^2 × 71 × 9643

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 92,350,944

Proper Divisor Sum 9,507,931

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #82843009 ← → #82843039

Radix Representation

Decimal	82843013
Binary	100111100000001010110000101 (27 bits)
Octal	0o474012605
Hexadecimal	0x4F01585

Divisor Catalog (12)

1 11 71 121 781 8,591 9,643 106,073 684,653 1,166,803 7,531,183 82,843,013

Collatz Trajectory (161 steps to reach 1)

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

82,843,013 248,529,040 124,264,520 62,132,260 31,066,130 15,533,065 46,599,196 23,299,598 11,649,799 34,949,398 17,474,699 52,424,098 26,212,049 78,636,148 39,318,074 19,659,037 58,977,112 29,488,556 14,744,278 7,372,139 22,116,418 11,058,209 33,174,628 16,587,314 8,293,657 24,880,972 12,440,486 6,220,243 18,660,730 9,330,365 27,991,096 13,995,548 6,997,774 3,498,887 10,496,662 5,248,331 15,744,994 7,872,497 23,617,492 11,808,746 5,904,373 17,713,120 8,856,560 4,428,280 2,214,140 1,107,070 553,535 1,660,606 830,303 2,490,910 1,245,455 3,736,366 1,868,183 5,604,550 2,802,275 8,406,826 4,203,413 12,610,240 6,305,120 3,152,560

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