677,020

2² × 5 × 33851

Starting at 677,020, the Collatz iteration reaches 1 after 84 steps. The first transition is 338510; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 33851

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,421,784

Proper Divisor Sum 744,764

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #677011 ← → #677021

Radix Representation

Decimal	677020
Binary	10100101010010011100 (20 bits)
Octal	0o2452234
Hexadecimal	0xA549C

Divisor Catalog (12)

1 2 4 5 10 20 33,851 67,702 135,404 169,255 338,510 677,020

Collatz Trajectory (84 steps to reach 1)

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

677,020 338,510 169,255 507,766 253,883 761,650 380,825 1,142,476 571,238 285,619 856,858 428,429 1,285,288 642,644 321,322 160,661 481,984 240,992 120,496 60,248 30,124 15,062 7,531 22,594 11,297 33,892 16,946 8,473 25,420 12,710 6,355 19,066 9,533 28,600 14,300 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300

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