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Atlas › Integer Profiles › Node 40,923,967

40,923,967

72 × 19 × 113 × 389
Deficient Odd Composite

40,923,967 factors as 7^2 × 19 × 113 × 389. Its 24 positive divisors give a proper-divisor sum of 9,760,433, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 7^2 × 19 × 113 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 50,684,400
Proper Divisor Sum 9,760,433
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #40923943 ← → #40923977

Radix Representation

Decimal 40923967
Binary 10011100000111001100111111 (26 bits)
Octal 0o234071477
Hexadecimal 0x270733F

Divisor Catalog (24)

1 7 19 49 113 133 389 791 931 2,147 2,723 5,537 7,391 15,029 19,061 43,957 51,737 105,203 307,699 362,159 835,183 2,153,893 5,846,281 40,923,967

Collatz Trajectory (253 steps to reach 1)

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

40,923,967 122,771,902 61,385,951 184,157,854 92,078,927 276,236,782 138,118,391 414,355,174 207,177,587 621,532,762 310,766,381 932,299,144 466,149,572 233,074,786 116,537,393 349,612,180 174,806,090 87,403,045 262,209,136 131,104,568 65,552,284 32,776,142 16,388,071 49,164,214 24,582,107 73,746,322 36,873,161 110,619,484 55,309,742 27,654,871 82,964,614 41,482,307 124,446,922 62,223,461 186,670,384 93,335,192 46,667,596 23,333,798 11,666,899 35,000,698 17,500,349 52,501,048 26,250,524 13,125,262 6,562,631 19,687,894 9,843,947 29,531,842 14,765,921 44,297,764 22,148,882 11,074,441 33,223,324 16,611,662 8,305,831 24,917,494 12,458,747 37,376,242 18,688,121 56,064,364

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