677,151

3² × 75239

677,151 factors as 3^2 × 75239. Its 6 positive divisors give a proper-divisor sum of 300,969, so this integer is deficient. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 3^2 × 75239

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 978,120

Proper Divisor Sum 300,969

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #677147 ← → #677167

Radix Representation

Decimal	677151
Binary	10100101010100011111 (20 bits)
Octal	0o2452437
Hexadecimal	0xA551F

Divisor Catalog (6)

1 3 9 75,239 225,717 677,151

Collatz Trajectory (61 steps to reach 1)

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

677,151 2,031,454 1,015,727 3,047,182 1,523,591 4,570,774 2,285,387 6,856,162 3,428,081 10,284,244 5,142,122 2,571,061 7,713,184 3,856,592 1,928,296 964,148 482,074 241,037 723,112 361,556 180,778 90,389 271,168 135,584 67,792 33,896 16,948 8,474 4,237 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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