4,009,466

2 × 113² × 157

4,009,466 factors as 2 × 113^2 × 157. Its 12 positive divisors give a proper-divisor sum of 2,097,076, so this integer is deficient. The Collatz stopping time is 273 steps.

Prime Factor Structure

Factorization String 2 × 113^2 × 157

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,106,542

Proper Divisor Sum 2,097,076

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4009451 ← → #4009477

Radix Representation

Decimal	4009466
Binary	1111010010110111111010 (22 bits)
Octal	0o17226772
Hexadecimal	0x3D2DFA

Divisor Catalog (12)

1 2 113 157 226 314 12,769 17,741 25,538 35,482 2,004,733 4,009,466

Collatz Trajectory (273 steps to reach 1)

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

4,009,466 2,004,733 6,014,200 3,007,100 1,503,550 751,775 2,255,326 1,127,663 3,382,990 1,691,495 5,074,486 2,537,243 7,611,730 3,805,865 11,417,596 5,708,798 2,854,399 8,563,198 4,281,599 12,844,798 6,422,399 19,267,198 9,633,599 28,900,798 14,450,399 43,351,198 21,675,599 65,026,798 32,513,399 97,540,198 48,770,099 146,310,298 73,155,149 219,465,448 109,732,724 54,866,362 27,433,181 82,299,544 41,149,772 20,574,886 10,287,443 30,862,330 15,431,165 46,293,496 23,146,748 11,573,374 5,786,687 17,360,062 8,680,031 26,040,094 13,020,047 39,060,142 19,530,071 58,590,214 29,295,107 87,885,322 43,942,661 131,827,984 65,913,992 32,956,996

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