λ
Harmonic Matrix

2,572,666

2 × 67 × 73 × 263
Deficient Even Composite

2,572,666 has digital root 7. The neighboring primes are 2572663 and 2572667; its proper-divisor sum differs from the starting integer by -1,159,988.

Prime Factor Structure

Factorization String 2 × 67 × 73 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,985,344
Proper Divisor Sum 1,412,678
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2572663 ← → #2572667

Radix Representation

Decimal 2572666
Binary 1001110100000101111010 (22 bits)
Octal 0o11640572
Hexadecimal 0x27417A

Divisor Catalog (16)

1 2 67 73 134 146 263 526 4,891 9,782 17,621 19,199 35,242 38,398 1,286,333 2,572,666

Collatz Trajectory (73 steps to reach 1)

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

2,572,666 1,286,333 3,859,000 1,929,500 964,750 482,375 1,447,126 723,563 2,170,690 1,085,345 3,256,036 1,628,018 814,009 2,442,028 1,221,014 610,507 1,831,522 915,761 2,747,284 1,373,642 686,821 2,060,464 1,030,232 515,116 257,558 128,779 386,338 193,169 579,508 289,754 144,877 434,632 217,316 108,658 54,329 162,988 81,494 40,747 122,242 61,121 183,364 91,682 45,841 137,524 68,762 34,381 103,144 51,572 25,786 12,893 38,680 19,340 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720

More profiles

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