78,678,418

2 × 7² × 13 × 61757

78,678,418 factors as 2 × 7^2 × 13 × 61757. Its 24 positive divisors give a proper-divisor sum of 69,170,234, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 61757

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 147,848,652

Proper Divisor Sum 69,170,234

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #78678401 ← → #78678419

Radix Representation

Decimal	78678418
Binary	100101100001000100110010010 (27 bits)
Octal	0o454104622
Hexadecimal	0x4B08992

Divisor Catalog (24)

Collatz Trajectory (91 steps to reach 1)

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

78,678,418 39,339,209 118,017,628 59,008,814 29,504,407 88,513,222 44,256,611 132,769,834 66,384,917 199,154,752 99,577,376 49,788,688 24,894,344 12,447,172 6,223,586 3,111,793 9,335,380 4,667,690 2,333,845 7,001,536 3,500,768 1,750,384 875,192 437,596 218,798 109,399 328,198 164,099 492,298 246,149 738,448 369,224 184,612 92,306 46,153 138,460 69,230 34,615 103,846 51,923 155,770 77,885 233,656 116,828 58,414 29,207 87,622 43,811 131,434 65,717 197,152 98,576 49,288 24,644 12,322 6,161 18,484 9,242 4,621 13,864

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