λ
Harmonic Matrix

5,427,783

33 × 53 × 3793
Deficient Odd Composite

5,427,783 has digital root 9. The neighboring primes are 5427781 and 5427809; its proper-divisor sum differs from the starting integer by -2,660,526.

Prime Factor Structure

Factorization String 3^3 × 53 × 3793
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,195,040
Proper Divisor Sum 2,767,257
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5427781 ← → #5427809

Radix Representation

Decimal 5427783
Binary 10100101101001001000111 (23 bits)
Octal 0o24551107
Hexadecimal 0x52D247

Divisor Catalog (16)

1 3 9 27 53 159 477 1,431 3,793 11,379 34,137 102,411 201,029 603,087 1,809,261 5,427,783

Collatz Trajectory (157 steps to reach 1)

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

5,427,783 16,283,350 8,141,675 24,425,026 12,212,513 36,637,540 18,318,770 9,159,385 27,478,156 13,739,078 6,869,539 20,608,618 10,304,309 30,912,928 15,456,464 7,728,232 3,864,116 1,932,058 966,029 2,898,088 1,449,044 724,522 362,261 1,086,784 543,392 271,696 135,848 67,924 33,962 16,981 50,944 25,472 12,736 6,368 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970

More profiles

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