41,002,667

101 × 405967

41,002,667 factors as 101 × 405967. Its 4 positive divisors give a proper-divisor sum of 406,069, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 101 × 405967

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 41,408,736

Proper Divisor Sum 406,069

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #41002649 ← → #41002673

Radix Representation

Decimal	41002667
Binary	10011100011010011010101011 (26 bits)
Octal	0o234323253
Hexadecimal	0x271A6AB

Divisor Catalog (4)

1 101 405,967 41,002,667

Collatz Trajectory (129 steps to reach 1)

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

41,002,667 123,008,002 61,504,001 184,512,004 92,256,002 46,128,001 138,384,004 69,192,002 34,596,001 103,788,004 51,894,002 25,947,001 77,841,004 38,920,502 19,460,251 58,380,754 29,190,377 87,571,132 43,785,566 21,892,783 65,678,350 32,839,175 98,517,526 49,258,763 147,776,290 73,888,145 221,664,436 110,832,218 55,416,109 166,248,328 83,124,164 41,562,082 20,781,041 62,343,124 31,171,562 15,585,781 46,757,344 23,378,672 11,689,336 5,844,668 2,922,334 1,461,167 4,383,502 2,191,751 6,575,254 3,287,627 9,862,882 4,931,441 14,794,324 7,397,162 3,698,581 11,095,744 5,547,872 2,773,936 1,386,968 693,484 346,742 173,371 520,114 260,057

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