λ
Harmonic Matrix

3,427,522

2 × 7 × 47 × 5209
Deficient Even Composite

3,427,522 has digital root 7. The neighboring primes are 3427513 and 3427537; its proper-divisor sum differs from the starting integer by -853,124.

Prime Factor Structure

Factorization String 2 × 7 × 47 × 5209
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,001,920
Proper Divisor Sum 2,574,398
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3427513 ← → #3427537

Radix Representation

Decimal 3427522
Binary 1101000100110011000010 (22 bits)
Octal 0o15046302
Hexadecimal 0x344CC2

Divisor Catalog (16)

1 2 7 14 47 94 329 658 5,209 10,418 36,463 72,926 244,823 489,646 1,713,761 3,427,522

Collatz Trajectory (177 steps to reach 1)

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

3,427,522 1,713,761 5,141,284 2,570,642 1,285,321 3,855,964 1,927,982 963,991 2,891,974 1,445,987 4,337,962 2,168,981 6,506,944 3,253,472 1,626,736 813,368 406,684 203,342 101,671 305,014 152,507 457,522 228,761 686,284 343,142 171,571 514,714 257,357 772,072 386,036 193,018 96,509 289,528 144,764 72,382 36,191 108,574 54,287 162,862 81,431 244,294 122,147 366,442 183,221 549,664 274,832 137,416 68,708 34,354 17,177 51,532 25,766 12,883 38,650 19,325 57,976 28,988 14,494 7,247 21,742

More profiles

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