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Atlas › Integer Profiles › Node 40,232,128

40,232,128

26 × 197 × 3191
Deficient Even Composite

40,232,128 factors as 2^6 × 197 × 3191. Its 28 positive divisors give a proper-divisor sum of 40,033,904, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^6 × 197 × 3191
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 80,266,032
Proper Divisor Sum 40,033,904
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #40232119 ← → #40232131

Radix Representation

Decimal 40232128
Binary 10011001011110010011000000 (26 bits)
Octal 0o231362300
Hexadecimal 0x265E4C0

Divisor Catalog (28)

1 2 4 8 16 32 64 197 394 788 1,576 3,152 3,191 6,304 6,382 12,608 12,764 25,528 51,056 102,112 204,224 628,627 1,257,254 2,514,508 5,029,016 10,058,032 20,116,064 40,232,128

Collatz Trajectory (116 steps to reach 1)

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

40,232,128 20,116,064 10,058,032 5,029,016 2,514,508 1,257,254 628,627 1,885,882 942,941 2,828,824 1,414,412 707,206 353,603 1,060,810 530,405 1,591,216 795,608 397,804 198,902 99,451 298,354 149,177 447,532 223,766 111,883 335,650 167,825 503,476 251,738 125,869 377,608 188,804 94,402 47,201 141,604 70,802 35,401 106,204 53,102 26,551 79,654 39,827 119,482 59,741 179,224 89,612 44,806 22,403 67,210 33,605 100,816 50,408 25,204 12,602 6,301 18,904 9,452 4,726 2,363 7,090

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