λ
Integer Codex

2,559,243

3 × 19 × 59 × 761
Deficient Odd Composite

For 2,559,243, the 16 positive divisors have a total of 3,657,600. Removing 2,559,243 leaves 1,098,357, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 19 × 59 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,657,600
Proper Divisor Sum 1,098,357
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2559229 ← → #2559247

Radix Representation

Decimal 2559243
Binary 1001110000110100001011 (22 bits)
Octal 0o11606413
Hexadecimal 0x270D0B

Divisor Catalog (16)

1 3 19 57 59 177 761 1,121 2,283 3,363 14,459 43,377 44,899 134,697 853,081 2,559,243

Collatz Trajectory (99 steps to reach 1)

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

2,559,243 7,677,730 3,838,865 11,516,596 5,758,298 2,879,149 8,637,448 4,318,724 2,159,362 1,079,681 3,239,044 1,619,522 809,761 2,429,284 1,214,642 607,321 1,821,964 910,982 455,491 1,366,474 683,237 2,049,712 1,024,856 512,428 256,214 128,107 384,322 192,161 576,484 288,242 144,121 432,364 216,182 108,091 324,274 162,137 486,412 243,206 121,603 364,810 182,405 547,216 273,608 136,804 68,402 34,201 102,604 51,302 25,651 76,954 38,477 115,432 57,716 28,858 14,429 43,288 21,644 10,822 5,411 16,234

More profiles

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