λ
Harmonic Matrix

1,426,873

7 × 47 × 4337
Deficient Odd Composite

1,426,873 has digital root 4. The neighboring primes are 1426847 and 1426877; its proper-divisor sum differs from the starting integer by -1,187,954.

Prime Factor Structure

Factorization String 7 × 47 × 4337
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,665,792
Proper Divisor Sum 238,919
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1426847 ← → #1426877

Radix Representation

Decimal 1426873
Binary 101011100010110111001 (21 bits)
Octal 0o5342671
Hexadecimal 0x15C5B9

Divisor Catalog (8)

1 7 47 329 4,337 30,359 203,839 1,426,873

Collatz Trajectory (124 steps to reach 1)

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

1,426,873 4,280,620 2,140,310 1,070,155 3,210,466 1,605,233 4,815,700 2,407,850 1,203,925 3,611,776 1,805,888 902,944 451,472 225,736 112,868 56,434 28,217 84,652 42,326 21,163 63,490 31,745 95,236 47,618 23,809 71,428 35,714 17,857 53,572 26,786 13,393 40,180 20,090 10,045 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058

More profiles

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