λ
Harmonic Matrix

5,315,586

2 × 3 × 885931
Abundant Even Composite

5,315,586 has digital root 6. The neighboring primes are 5315581 and 5315591; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 885931
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,631,184
Proper Divisor Sum 5,315,598
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5315581 ← → #5315591

Radix Representation

Decimal 5315586
Binary 10100010001110000000010 (23 bits)
Octal 0o24216002
Hexadecimal 0x511C02

Divisor Catalog (8)

1 2 3 6 885,931 1,771,862 2,657,793 5,315,586

Collatz Trajectory (294 steps to reach 1)

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

5,315,586 2,657,793 7,973,380 3,986,690 1,993,345 5,980,036 2,990,018 1,495,009 4,485,028 2,242,514 1,121,257 3,363,772 1,681,886 840,943 2,522,830 1,261,415 3,784,246 1,892,123 5,676,370 2,838,185 8,514,556 4,257,278 2,128,639 6,385,918 3,192,959 9,578,878 4,789,439 14,368,318 7,184,159 21,552,478 10,776,239 32,328,718 16,164,359 48,493,078 24,246,539 72,739,618 36,369,809 109,109,428 54,554,714 27,277,357 81,832,072 40,916,036 20,458,018 10,229,009 30,687,028 15,343,514 7,671,757 23,015,272 11,507,636 5,753,818 2,876,909 8,630,728 4,315,364 2,157,682 1,078,841 3,236,524 1,618,262 809,131 2,427,394 1,213,697

More profiles

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