λ
Integer Codex

9,985,397

9985397
Deficient Odd Prime

For 9,985,397, the 2 positive divisors have a total of 9,985,398. Removing 9,985,397 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 9985397
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,985,398
Proper Divisor Sum 1
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #9985373 ← → #9985399

Radix Representation

Decimal 9985397
Binary 100110000101110101110101 (24 bits)
Octal 0o46056565
Hexadecimal 0x985D75

Divisor Catalog (2)

Collatz Trajectory (132 steps to reach 1)

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

9,985,397 29,956,192 14,978,096 7,489,048 3,744,524 1,872,262 936,131 2,808,394 1,404,197 4,212,592 2,106,296 1,053,148 526,574 263,287 789,862 394,931 1,184,794 592,397 1,777,192 888,596 444,298 222,149 666,448 333,224 166,612 83,306 41,653 124,960 62,480 31,240 15,620 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

More profiles

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