3,431,990

2 × 5 × 343199

3,431,990 factors as 2 × 5 × 343199. Its 8 positive divisors give a proper-divisor sum of 2,745,610, so this integer is deficient. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 2 × 5 × 343199

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,177,600

Proper Divisor Sum 2,745,610

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3431963 ← → #3431993

Radix Representation

Decimal	3431990
Binary	1101000101111000110110 (22 bits)
Octal	0o15057066
Hexadecimal	0x345E36

Divisor Catalog (8)

1 2 5 10 343,199 686,398 1,715,995 3,431,990

Collatz Trajectory (239 steps to reach 1)

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

3,431,990 1,715,995 5,147,986 2,573,993 7,721,980 3,860,990 1,930,495 5,791,486 2,895,743 8,687,230 4,343,615 13,030,846 6,515,423 19,546,270 9,773,135 29,319,406 14,659,703 43,979,110 21,989,555 65,968,666 32,984,333 98,953,000 49,476,500 24,738,250 12,369,125 37,107,376 18,553,688 9,276,844 4,638,422 2,319,211 6,957,634 3,478,817 10,436,452 5,218,226 2,609,113 7,827,340 3,913,670 1,956,835 5,870,506 2,935,253 8,805,760 4,402,880 2,201,440 1,100,720 550,360 275,180 137,590 68,795 206,386 103,193 309,580 154,790 77,395 232,186 116,093 348,280 174,140 87,070 43,535 130,606

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