λ
Harmonic Matrix

4,831,023

3 × 29 × 55529
Deficient Odd Composite

4,831,023 has digital root 3. The neighboring primes are 4831019 and 4831037; its proper-divisor sum differs from the starting integer by -2,998,446.

Prime Factor Structure

Factorization String 3 × 29 × 55529
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,663,600
Proper Divisor Sum 1,832,577
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4831019 ← → #4831037

Radix Representation

Decimal 4831023
Binary 10010011011011100101111 (23 bits)
Octal 0o22333457
Hexadecimal 0x49B72F

Divisor Catalog (8)

1 3 29 87 55,529 166,587 1,610,341 4,831,023

Collatz Trajectory (113 steps to reach 1)

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

4,831,023 14,493,070 7,246,535 21,739,606 10,869,803 32,609,410 16,304,705 48,914,116 24,457,058 12,228,529 36,685,588 18,342,794 9,171,397 27,514,192 13,757,096 6,878,548 3,439,274 1,719,637 5,158,912 2,579,456 1,289,728 644,864 322,432 161,216 80,608 40,304 20,152 10,076 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854

More profiles

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