λ
Integer Codex

2,649,423

3 × 7 × 79 × 1597
Deficient Odd Composite

For 2,649,423, the 16 positive divisors have a total of 4,090,880. Removing 2,649,423 leaves 1,441,457, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 79 × 1597
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,090,880
Proper Divisor Sum 1,441,457
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2649421 ← → #2649431

Radix Representation

Decimal 2649423
Binary 1010000110110101001111 (22 bits)
Octal 0o12066517
Hexadecimal 0x286D4F

Divisor Catalog (16)

1 3 7 21 79 237 553 1,597 1,659 4,791 11,179 33,537 126,163 378,489 883,141 2,649,423

Collatz Trajectory (125 steps to reach 1)

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

2,649,423 7,948,270 3,974,135 11,922,406 5,961,203 17,883,610 8,941,805 26,825,416 13,412,708 6,706,354 3,353,177 10,059,532 5,029,766 2,514,883 7,544,650 3,772,325 11,316,976 5,658,488 2,829,244 1,414,622 707,311 2,121,934 1,060,967 3,182,902 1,591,451 4,774,354 2,387,177 7,161,532 3,580,766 1,790,383 5,371,150 2,685,575 8,056,726 4,028,363 12,085,090 6,042,545 18,127,636 9,063,818 4,531,909 13,595,728 6,797,864 3,398,932 1,699,466 849,733 2,549,200 1,274,600 637,300 318,650 159,325 477,976 238,988 119,494 59,747 179,242 89,621 268,864 134,432 67,216 33,608 16,804

More profiles

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