λ
Integer Codex

2,628,599

2628599
Deficient Odd Prime

For 2,628,599, the 2 positive divisors have a total of 2,628,600. Removing 2,628,599 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2628599
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,628,600
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2628581 ← → #2628607

Radix Representation

Decimal 2628599
Binary 1010000001101111110111 (22 bits)
Octal 0o12015767
Hexadecimal 0x281BF7

Divisor Catalog (2)

Collatz Trajectory (218 steps to reach 1)

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

2,628,599 7,885,798 3,942,899 11,828,698 5,914,349 17,743,048 8,871,524 4,435,762 2,217,881 6,653,644 3,326,822 1,663,411 4,990,234 2,495,117 7,485,352 3,742,676 1,871,338 935,669 2,807,008 1,403,504 701,752 350,876 175,438 87,719 263,158 131,579 394,738 197,369 592,108 296,054 148,027 444,082 222,041 666,124 333,062 166,531 499,594 249,797 749,392 374,696 187,348 93,674 46,837 140,512 70,256 35,128 17,564 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676

More profiles

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