λ
Ratio Atlas

31,621,823

149 × 212227
Deficient Odd Composite

31,621,823 factors as 149 × 212227. Its 4 positive divisors give a proper-divisor sum of 212,377, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 149 × 212227
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 31,834,200
Proper Divisor Sum 212,377
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #31621753 ← → #31621831

Radix Representation

Decimal 31621823
Binary 1111000101000001010111111 (25 bits)
Octal 0o170501277
Hexadecimal 0x1E282BF

Divisor Catalog (4)

Collatz Trajectory (175 steps to reach 1)

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

31,621,823 94,865,470 47,432,735 142,298,206 71,149,103 213,447,310 106,723,655 320,170,966 160,085,483 480,256,450 240,128,225 720,384,676 360,192,338 180,096,169 540,288,508 270,144,254 135,072,127 405,216,382 202,608,191 607,824,574 303,912,287 911,736,862 455,868,431 1,367,605,294 683,802,647 2,051,407,942 1,025,703,971 3,077,111,914 1,538,555,957 4,615,667,872 2,307,833,936 1,153,916,968 576,958,484 288,479,242 144,239,621 432,718,864 216,359,432 108,179,716 54,089,858 27,044,929 81,134,788 40,567,394 20,283,697 60,851,092 30,425,546 15,212,773 45,638,320 22,819,160 11,409,580 5,704,790 2,852,395 8,557,186 4,278,593 12,835,780 6,417,890 3,208,945 9,626,836 4,813,418 2,406,709 7,220,128

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