677,972

2² × 169493

677,972 factors as 2^2 × 169493. Its 6 positive divisors give a proper-divisor sum of 508,486, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 169493

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,186,458

Proper Divisor Sum 508,486

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #677959 ← → #677983

Radix Representation

Decimal	677972
Binary	10100101100001010100 (20 bits)
Octal	0o2454124
Hexadecimal	0xA5854

Divisor Catalog (6)

1 2 4 169,493 338,986 677,972

Collatz Trajectory (136 steps to reach 1)

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

677,972 338,986 169,493 508,480 254,240 127,120 63,560 31,780 15,890 7,945 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306

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