λ
Zalai Atlas

677,028

22 × 3 × 11 × 23 × 223
Abundant Even Composite

677,028 has the prime decomposition 2^2 × 3 × 11 × 23 × 223. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 23 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,806,336
Proper Divisor Sum 1,129,308
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #677021 ← → #677029

Radix Representation

Decimal 677028
Binary 10100101010010100100 (20 bits)
Octal 0o2452244
Hexadecimal 0xA54A4

Divisor Catalog (48)

1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 223 253 276 446 506 669 759 892 1,012 1,338 1,518 2,453 2,676 3,036 4,906 5,129 7,359 9,812 10,258 14,718 15,387 20,516 29,436 30,774 56,419 61,548 112,838 169,257 225,676 338,514 677,028

Collatz Trajectory (84 steps to reach 1)

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

677,028 338,514 169,257 507,772 253,886 126,943 380,830 190,415 571,246 285,623 856,870 428,435 1,285,306 642,653 1,927,960 963,980 481,990 240,995 722,986 361,493 1,084,480 542,240 271,120 135,560 67,780 33,890 16,945 50,836 25,418 12,709 38,128 19,064 9,532 4,766 2,383 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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