78,978,310

2 × 5 × 29² × 9391

78,978,310 factors as 2 × 5 × 29^2 × 9391. Its 24 positive divisors give a proper-divisor sum of 68,269,466, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2 × 5 × 29^2 × 9391

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 147,247,776

Proper Divisor Sum 68,269,466

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #78978301 ← → #78978323

Radix Representation

Decimal	78978310
Binary	100101101010001110100000110 (27 bits)
Octal	0o455216406
Hexadecimal	0x4B51D06

Divisor Catalog (24)

Collatz Trajectory (117 steps to reach 1)

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

78,978,310 39,489,155 118,467,466 59,233,733 177,701,200 88,850,600 44,425,300 22,212,650 11,106,325 33,318,976 16,659,488 8,329,744 4,164,872 2,082,436 1,041,218 520,609 1,561,828 780,914 390,457 1,171,372 585,686 292,843 878,530 439,265 1,317,796 658,898 329,449 988,348 494,174 247,087 741,262 370,631 1,111,894 555,947 1,667,842 833,921 2,501,764 1,250,882 625,441 1,876,324 938,162 469,081 1,407,244 703,622 351,811 1,055,434 527,717 1,583,152 791,576 395,788 197,894 98,947 296,842 148,421 445,264 222,632 111,316 55,658 27,829 83,488

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