λ
Modular Archive

688,030

2 × 5 × 7 × 9829
Abundant Even Composite

The decimal integer 688,030 is 10100111111110011110 in binary (20 bits), 2477636 in octal and A7F9E in hexadecimal. Its digit sum is 25.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 9829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,415,520
Proper Divisor Sum 727,490
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #688027 ← → #688031

Radix Representation

Decimal 688030
Binary 10100111111110011110 (20 bits)
Octal 0o2477636
Hexadecimal 0xA7F9E

Divisor Catalog (16)

1 2 5 7 10 14 35 70 9,829 19,658 49,145 68,803 98,290 137,606 344,015 688,030

Collatz Trajectory (198 steps to reach 1)

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

688,030 344,015 1,032,046 516,023 1,548,070 774,035 2,322,106 1,161,053 3,483,160 1,741,580 870,790 435,395 1,306,186 653,093 1,959,280 979,640 489,820 244,910 122,455 367,366 183,683 551,050 275,525 826,576 413,288 206,644 103,322 51,661 154,984 77,492 38,746 19,373 58,120 29,060 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367

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