41,026,139

7 × 11² × 48437

41,026,139 factors as 7 × 11^2 × 48437. Its 12 positive divisors give a proper-divisor sum of 10,511,893, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 7 × 11^2 × 48437

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 51,538,032

Proper Divisor Sum 10,511,893

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #41026133 ← → #41026163

Radix Representation

Decimal	41026139
Binary	10011100100000001001011011 (26 bits)
Octal	0o234401133
Hexadecimal	0x272025B

Divisor Catalog (12)

1 7 11 77 121 847 48,437 339,059 532,807 3,729,649 5,860,877 41,026,139

Collatz Trajectory (160 steps to reach 1)

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

41,026,139 123,078,418 61,539,209 184,617,628 92,308,814 46,154,407 138,463,222 69,231,611 207,694,834 103,847,417 311,542,252 155,771,126 77,885,563 233,656,690 116,828,345 350,485,036 175,242,518 87,621,259 262,863,778 131,431,889 394,295,668 197,147,834 98,573,917 295,721,752 147,860,876 73,930,438 36,965,219 110,895,658 55,447,829 166,343,488 83,171,744 41,585,872 20,792,936 10,396,468 5,198,234 2,599,117 7,797,352 3,898,676 1,949,338 974,669 2,924,008 1,462,004 731,002 365,501 1,096,504 548,252 274,126 137,063 411,190 205,595 616,786 308,393 925,180 462,590 231,295 693,886 346,943 1,040,830 520,415 1,561,246

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