λ
Integer Codex

1,523,634

2 × 3 × 7 × 36277
Abundant Even Composite

For 1,523,634, the 16 positive divisors have a total of 3,482,688. Removing 1,523,634 leaves 1,959,054, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 36277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,482,688
Proper Divisor Sum 1,959,054
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1523633 ← → #1523651

Radix Representation

Decimal 1523634
Binary 101110011111110110010 (21 bits)
Octal 0o5637662
Hexadecimal 0x173FB2

Divisor Catalog (16)

1 2 3 6 7 14 21 42 36,277 72,554 108,831 217,662 253,939 507,878 761,817 1,523,634

Collatz Trajectory (57 steps to reach 1)

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

1,523,634 761,817 2,285,452 1,142,726 571,363 1,714,090 857,045 2,571,136 1,285,568 642,784 321,392 160,696 80,348 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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