λ
Integer Codex

1,724,506

2 × 72 × 17597
Deficient Even Composite

For 1,724,506, the 12 positive divisors have a total of 3,009,258. Removing 1,724,506 leaves 1,284,752, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7^2 × 17597
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,009,258
Proper Divisor Sum 1,284,752
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1724483 ← → #1724507

Radix Representation

Decimal 1724506
Binary 110100101000001011010 (21 bits)
Octal 0o6450132
Hexadecimal 0x1A505A

Divisor Catalog (12)

1 2 7 14 49 98 17,597 35,194 123,179 246,358 862,253 1,724,506

Collatz Trajectory (158 steps to reach 1)

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

1,724,506 862,253 2,586,760 1,293,380 646,690 323,345 970,036 485,018 242,509 727,528 363,764 181,882 90,941 272,824 136,412 68,206 34,103 102,310 51,155 153,466 76,733 230,200 115,100 57,550 28,775 86,326 43,163 129,490 64,745 194,236 97,118 48,559 145,678 72,839 218,518 109,259 327,778 163,889 491,668 245,834 122,917 368,752 184,376 92,188 46,094 23,047 69,142 34,571 103,714 51,857 155,572 77,786 38,893 116,680 58,340 29,170 14,585 43,756 21,878 10,939

More profiles

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