101,168

2⁴ × 6323

101,168 factors as 2^4 × 6323. Its 10 positive divisors give a proper-divisor sum of 94,876, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^4 × 6323

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 196,044

Proper Divisor Sum 94,876

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #101161 ← → #101173

Radix Representation

Decimal	101168
Binary	11000101100110000 (17 bits)
Octal	0o305460
Hexadecimal	0x18B30

Divisor Catalog (10)

1 2 4 8 16 6,323 12,646 25,292 50,584 101,168

Collatz Trajectory (159 steps to reach 1)

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

101,168 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646

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