λ
Ratio Atlas

72,243,326

2 × 179 × 201797
Deficient Even Composite

72,243,326 factors as 2 × 179 × 201797. Its 8 positive divisors give a proper-divisor sum of 36,727,594, so this integer is deficient. The Collatz stopping time is 290 steps.

Prime Factor Structure

Factorization String 2 × 179 × 201797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 108,970,920
Proper Divisor Sum 36,727,594
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #72243323 ← → #72243329

Radix Representation

Decimal 72243326
Binary 100010011100101100001111110 (27 bits)
Octal 0o423454176
Hexadecimal 0x44E587E

Divisor Catalog (8)

Collatz Trajectory (290 steps to reach 1)

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

72,243,326 36,121,663 108,364,990 54,182,495 162,547,486 81,273,743 243,821,230 121,910,615 365,731,846 182,865,923 548,597,770 274,298,885 822,896,656 411,448,328 205,724,164 102,862,082 51,431,041 154,293,124 77,146,562 38,573,281 115,719,844 57,859,922 28,929,961 86,789,884 43,394,942 21,697,471 65,092,414 32,546,207 97,638,622 48,819,311 146,457,934 73,228,967 219,686,902 109,843,451 329,530,354 164,765,177 494,295,532 247,147,766 123,573,883 370,721,650 185,360,825 556,082,476 278,041,238 139,020,619 417,061,858 208,530,929 625,592,788 312,796,394 156,398,197 469,194,592 234,597,296 117,298,648 58,649,324 29,324,662 14,662,331 43,986,994 21,993,497 65,980,492 32,990,246 16,495,123

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