λ
Integer Codex

7,731,127

7731127
Deficient Odd Prime

For 7,731,127, the 2 positive divisors have a total of 7,731,128. Removing 7,731,127 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 7731127
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,731,128
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7731103 ← → #7731131

Radix Representation

Decimal 7731127
Binary 11101011111011110110111 (23 bits)
Octal 0o35373667
Hexadecimal 0x75F7B7

Divisor Catalog (2)

Collatz Trajectory (111 steps to reach 1)

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

7,731,127 23,193,382 11,596,691 34,790,074 17,395,037 52,185,112 26,092,556 13,046,278 6,523,139 19,569,418 9,784,709 29,354,128 14,677,064 7,338,532 3,669,266 1,834,633 5,503,900 2,751,950 1,375,975 4,127,926 2,063,963 6,191,890 3,095,945 9,287,836 4,643,918 2,321,959 6,965,878 3,482,939 10,448,818 5,224,409 15,673,228 7,836,614 3,918,307 11,754,922 5,877,461 17,632,384 8,816,192 4,408,096 2,204,048 1,102,024 551,012 275,506 137,753 413,260 206,630 103,315 309,946 154,973 464,920 232,460 116,230 58,115 174,346 87,173 261,520 130,760 65,380 32,690 16,345 49,036

More profiles

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