λ
Ratio Atlas

28,072,047

3 × 149 × 62801
Deficient Odd Composite

28,072,047 factors as 3 × 149 × 62801. Its 8 positive divisors give a proper-divisor sum of 9,609,153, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 149 × 62801
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 37,681,200
Proper Divisor Sum 9,609,153
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #28072039 ← → #28072061

Radix Representation

Decimal 28072047
Binary 1101011000101100001101111 (25 bits)
Octal 0o153054157
Hexadecimal 0x1AC586F

Divisor Catalog (8)

Collatz Trajectory (180 steps to reach 1)

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

28,072,047 84,216,142 42,108,071 126,324,214 63,162,107 189,486,322 94,743,161 284,229,484 142,114,742 71,057,371 213,172,114 106,586,057 319,758,172 159,879,086 79,939,543 239,818,630 119,909,315 359,727,946 179,863,973 539,591,920 269,795,960 134,897,980 67,448,990 33,724,495 101,173,486 50,586,743 151,760,230 75,880,115 227,640,346 113,820,173 341,460,520 170,730,260 85,365,130 42,682,565 128,047,696 64,023,848 32,011,924 16,005,962 8,002,981 24,008,944 12,004,472 6,002,236 3,001,118 1,500,559 4,501,678 2,250,839 6,752,518 3,376,259 10,128,778 5,064,389 15,193,168 7,596,584 3,798,292 1,899,146 949,573 2,848,720 1,424,360 712,180 356,090 178,045

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