λ
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Atlas › Integer Profiles › Node 9,716,102

9,716,102

2 × 11 × 29 × 97 × 157
Deficient Even Composite

9,716,102 factors as 2 × 11 × 29 × 97 × 157. Its 32 positive divisors give a proper-divisor sum of 7,006,618, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 11 × 29 × 97 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,722,720
Proper Divisor Sum 7,006,618
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9716071 ← → #9716107

Radix Representation

Decimal 9716102
Binary 100101000100000110000110 (24 bits)
Octal 0o45040606
Hexadecimal 0x944186

Divisor Catalog (32)

1 2 11 22 29 58 97 157 194 314 319 638 1,067 1,727 2,134 2,813 3,454 4,553 5,626 9,106 15,229 30,458 30,943 50,083 61,886 100,166 167,519 335,038 441,641 883,282 4,858,051 9,716,102

Collatz Trajectory (119 steps to reach 1)

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

9,716,102 4,858,051 14,574,154 7,287,077 21,861,232 10,930,616 5,465,308 2,732,654 1,366,327 4,098,982 2,049,491 6,148,474 3,074,237 9,222,712 4,611,356 2,305,678 1,152,839 3,458,518 1,729,259 5,187,778 2,593,889 7,781,668 3,890,834 1,945,417 5,836,252 2,918,126 1,459,063 4,377,190 2,188,595 6,565,786 3,282,893 9,848,680 4,924,340 2,462,170 1,231,085 3,693,256 1,846,628 923,314 461,657 1,384,972 692,486 346,243 1,038,730 519,365 1,558,096 779,048 389,524 194,762 97,381 292,144 146,072 73,036 36,518 18,259 54,778 27,389 82,168 41,084 20,542 10,271

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