82,829,294

2 × 41414647

82,829,294 factors as 2 × 41414647. Its 4 positive divisors give a proper-divisor sum of 41,414,650, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 41414647

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 124,243,944

Proper Divisor Sum 41,414,650

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #82829293 ← → #82829297

Radix Representation

Decimal	82829294
Binary	100111011111101111111101110 (27 bits)
Octal	0o473757756
Hexadecimal	0x4EFDFEE

Divisor Catalog (4)

1 2 41,414,647 82,829,294

Collatz Trajectory (179 steps to reach 1)

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

82,829,294 41,414,647 124,243,942 62,121,971 186,365,914 93,182,957 279,548,872 139,774,436 69,887,218 34,943,609 104,830,828 52,415,414 26,207,707 78,623,122 39,311,561 117,934,684 58,967,342 29,483,671 88,451,014 44,225,507 132,676,522 66,338,261 199,014,784 99,507,392 49,753,696 24,876,848 12,438,424 6,219,212 3,109,606 1,554,803 4,664,410 2,332,205 6,996,616 3,498,308 1,749,154 874,577 2,623,732 1,311,866 655,933 1,967,800 983,900 491,950 245,975 737,926 368,963 1,106,890 553,445 1,660,336 830,168 415,084 207,542 103,771 311,314 155,657 466,972 233,486 116,743 350,230 175,115 525,346

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