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Atlas › Integer Profiles › Node 42,768,112

42,768,112

24 × 109 × 137 × 179
Deficient Even Composite

42,768,112 factors as 2^4 × 109 × 137 × 179. Its 40 positive divisors give a proper-divisor sum of 41,936,288, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^4 × 109 × 137 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 84,704,400
Proper Divisor Sum 41,936,288
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #42768091 ← → #42768133

Radix Representation

Decimal 42768112
Binary 10100011001001011011110000 (26 bits)
Octal 0o243113360
Hexadecimal 0x28C96F0

Divisor Catalog (40)

1 2 4 8 16 109 137 179 218 274 358 436 548 716 872 1,096 1,432 1,744 2,192 2,864 14,933 19,511 24,523 29,866 39,022 49,046 59,732 78,044 98,092 119,464 156,088 196,184 238,928 312,176 392,368 2,673,007 5,346,014 10,692,028 21,384,056 42,768,112

Collatz Trajectory (67 steps to reach 1)

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

42,768,112 21,384,056 10,692,028 5,346,014 2,673,007 8,019,022 4,009,511 12,028,534 6,014,267 18,042,802 9,021,401 27,064,204 13,532,102 6,766,051 20,298,154 10,149,077 30,447,232 15,223,616 7,611,808 3,805,904 1,902,952 951,476 475,738 237,869 713,608 356,804 178,402 89,201 267,604 133,802 66,901 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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