λ
Integer Codex

2,560,123

2560123
Deficient Odd Prime

For 2,560,123, the 2 positive divisors have a total of 2,560,124. Removing 2,560,123 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2560123
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,560,124
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2560099 ← → #2560127

Radix Representation

Decimal 2560123
Binary 1001110001000001111011 (22 bits)
Octal 0o11610173
Hexadecimal 0x27107B

Divisor Catalog (2)

Collatz Trajectory (130 steps to reach 1)

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

2,560,123 7,680,370 3,840,185 11,520,556 5,760,278 2,880,139 8,640,418 4,320,209 12,960,628 6,480,314 3,240,157 9,720,472 4,860,236 2,430,118 1,215,059 3,645,178 1,822,589 5,467,768 2,733,884 1,366,942 683,471 2,050,414 1,025,207 3,075,622 1,537,811 4,613,434 2,306,717 6,920,152 3,460,076 1,730,038 865,019 2,595,058 1,297,529 3,892,588 1,946,294 973,147 2,919,442 1,459,721 4,379,164 2,189,582 1,094,791 3,284,374 1,642,187 4,926,562 2,463,281 7,389,844 3,694,922 1,847,461 5,542,384 2,771,192 1,385,596 692,798 346,399 1,039,198 519,599 1,558,798 779,399 2,338,198 1,169,099 3,507,298

More profiles

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