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Atlas › Integer Profiles › Node 84,809,168

84,809,168

24 × 89 × 59557
Deficient Even Composite

84,809,168 factors as 2^4 × 89 × 59557. Its 20 positive divisors give a proper-divisor sum of 81,357,652, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^4 × 89 × 59557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 166,166,820
Proper Divisor Sum 81,357,652
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #84809167 ← → #84809171

Radix Representation

Decimal 84809168
Binary 101000011100001010111010000 (27 bits)
Octal 0o503412720
Hexadecimal 0x50E15D0

Divisor Catalog (20)

1 2 4 8 16 89 178 356 712 1,424 59,557 119,114 238,228 476,456 952,912 5,300,573 10,601,146 21,202,292 42,404,584 84,809,168

Collatz Trajectory (161 steps to reach 1)

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

84,809,168 42,404,584 21,202,292 10,601,146 5,300,573 15,901,720 7,950,860 3,975,430 1,987,715 5,963,146 2,981,573 8,944,720 4,472,360 2,236,180 1,118,090 559,045 1,677,136 838,568 419,284 209,642 104,821 314,464 157,232 78,616 39,308 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71

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