λ
Harmonic Matrix

8,342,974

2 × 23 × 67 × 2707
Deficient Even Composite

8,342,974 has digital root 1. The neighboring primes are 8342959 and 8342977; its proper-divisor sum differs from the starting integer by -3,427,580.

Prime Factor Structure

Factorization String 2 × 23 × 67 × 2707
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,258,368
Proper Divisor Sum 4,915,394
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8342959 ← → #8342977

Radix Representation

Decimal 8342974
Binary 11111110100110110111110 (23 bits)
Octal 0o37646676
Hexadecimal 0x7F4DBE

Divisor Catalog (16)

1 2 23 46 67 134 1,541 2,707 3,082 5,414 62,261 124,522 181,369 362,738 4,171,487 8,342,974

Collatz Trajectory (168 steps to reach 1)

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

8,342,974 4,171,487 12,514,462 6,257,231 18,771,694 9,385,847 28,157,542 14,078,771 42,236,314 21,118,157 63,354,472 31,677,236 15,838,618 7,919,309 23,757,928 11,878,964 5,939,482 2,969,741 8,909,224 4,454,612 2,227,306 1,113,653 3,340,960 1,670,480 835,240 417,620 208,810 104,405 313,216 156,608 78,304 39,152 19,576 9,788 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41

More profiles

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