λ
Ratio Atlas

31,218,857

47 × 293 × 2267
Deficient Odd Composite

31,218,857 factors as 47 × 293 × 2267. Its 8 positive divisors give a proper-divisor sum of 787,159, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 47 × 293 × 2267
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 32,006,016
Proper Divisor Sum 787,159
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #31218823 ← → #31218871

Radix Representation

Decimal 31218857
Binary 1110111000101110010101001 (25 bits)
Octal 0o167056251
Hexadecimal 0x1DC5CA9

Divisor Catalog (8)

Collatz Trajectory (175 steps to reach 1)

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

31,218,857 93,656,572 46,828,286 23,414,143 70,242,430 35,121,215 105,363,646 52,681,823 158,045,470 79,022,735 237,068,206 118,534,103 355,602,310 177,801,155 533,403,466 266,701,733 800,105,200 400,052,600 200,026,300 100,013,150 50,006,575 150,019,726 75,009,863 225,029,590 112,514,795 337,544,386 168,772,193 506,316,580 253,158,290 126,579,145 379,737,436 189,868,718 94,934,359 284,803,078 142,401,539 427,204,618 213,602,309 640,806,928 320,403,464 160,201,732 80,100,866 40,050,433 120,151,300 60,075,650 30,037,825 90,113,476 45,056,738 22,528,369 67,585,108 33,792,554 16,896,277 50,688,832 25,344,416 12,672,208 6,336,104 3,168,052 1,584,026 792,013 2,376,040 1,188,020

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