λ
Harmonic Matrix

3,074,586

2 × 3 × 17 × 43 × 701
Abundant Even Composite

3,074,586 has digital root 6. The neighboring primes are 3074581 and 3074587; its proper-divisor sum differs from the starting integer by 522,636.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 43 × 701
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,671,808
Proper Divisor Sum 3,597,222
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3074581 ← → #3074587

Radix Representation

Decimal 3074586
Binary 1011101110101000011010 (22 bits)
Octal 0o13565032
Hexadecimal 0x2EEA1A

Divisor Catalog (32)

1 2 3 6 17 34 43 51 86 102 129 258 701 731 1,402 1,462 2,103 2,193 4,206 4,386 11,917 23,834 30,143 35,751 60,286 71,502 90,429 180,858 512,431 1,024,862 1,537,293 3,074,586

Collatz Trajectory (76 steps to reach 1)

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

3,074,586 1,537,293 4,611,880 2,305,940 1,152,970 576,485 1,729,456 864,728 432,364 216,182 108,091 324,274 162,137 486,412 243,206 121,603 364,810 182,405 547,216 273,608 136,804 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 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544

More profiles

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