λ
Integer Codex

1,628,586

2 × 36 × 1117
Abundant Even Composite

For 1,628,586, the 28 positive divisors have a total of 3,665,922. Removing 1,628,586 leaves 2,037,336, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^6 × 1117
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 3,665,922
Proper Divisor Sum 2,037,336
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1628579 ← → #1628587

Radix Representation

Decimal 1628586
Binary 110001101100110101010 (21 bits)
Octal 0o6154652
Hexadecimal 0x18D9AA

Divisor Catalog (28)

1 2 3 6 9 18 27 54 81 162 243 486 729 1,117 1,458 2,234 3,351 6,702 10,053 20,106 30,159 60,318 90,477 180,954 271,431 542,862 814,293 1,628,586

Collatz Trajectory (114 steps to reach 1)

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

1,628,586 814,293 2,442,880 1,221,440 610,720 305,360 152,680 76,340 38,170 19,085 57,256 28,628 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727

More profiles

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