λ
Integer Codex

2,590,396

22 × 29 × 137 × 163
Deficient Even Composite

For 2,590,396, the 24 positive divisors have a total of 4,752,720. Removing 2,590,396 leaves 2,162,324, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 29 × 137 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,752,720
Proper Divisor Sum 2,162,324
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2590387 ← → #2590397

Radix Representation

Decimal 2590396
Binary 1001111000011010111100 (22 bits)
Octal 0o11703274
Hexadecimal 0x2786BC

Divisor Catalog (24)

1 2 4 29 58 116 137 163 274 326 548 652 3,973 4,727 7,946 9,454 15,892 18,908 22,331 44,662 89,324 647,599 1,295,198 2,590,396

Collatz Trajectory (187 steps to reach 1)

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

2,590,396 1,295,198 647,599 1,942,798 971,399 2,914,198 1,457,099 4,371,298 2,185,649 6,556,948 3,278,474 1,639,237 4,917,712 2,458,856 1,229,428 614,714 307,357 922,072 461,036 230,518 115,259 345,778 172,889 518,668 259,334 129,667 389,002 194,501 583,504 291,752 145,876 72,938 36,469 109,408 54,704 27,352 13,676 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740

More profiles

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