42,005,209

42005209

42,005,209 factors as 42005209. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 42005209

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 42,005,210

Proper Divisor Sum 1

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #42005207 ← → #42005237

Radix Representation

Decimal	42005209
Binary	10100000001111001011011001 (26 bits)
Octal	0o240171331
Hexadecimal	0x280F2D9

Divisor Catalog (2)

1 42,005,209

Collatz Trajectory (191 steps to reach 1)

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

42,005,209 126,015,628 63,007,814 31,503,907 94,511,722 47,255,861 141,767,584 70,883,792 35,441,896 17,720,948 8,860,474 4,430,237 13,290,712 6,645,356 3,322,678 1,661,339 4,984,018 2,492,009 7,476,028 3,738,014 1,869,007 5,607,022 2,803,511 8,410,534 4,205,267 12,615,802 6,307,901 18,923,704 9,461,852 4,730,926 2,365,463 7,096,390 3,548,195 10,644,586 5,322,293 15,966,880 7,983,440 3,991,720 1,995,860 997,930 498,965 1,496,896 748,448 374,224 187,112 93,556 46,778 23,389 70,168 35,084 17,542 8,771 26,314 13,157 39,472 19,736 9,868 4,934 2,467 7,402

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