λ
Harmonic Matrix

5,877,826

2 × 151 × 19463
Deficient Even Composite

5,877,826 has digital root 7. The neighboring primes are 5877797 and 5877829; its proper-divisor sum differs from the starting integer by -2,880,068.

Prime Factor Structure

Factorization String 2 × 151 × 19463
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,875,584
Proper Divisor Sum 2,997,758
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5877797 ← → #5877829

Radix Representation

Decimal 5877826
Binary 10110011011000001000010 (23 bits)
Octal 0o26330102
Hexadecimal 0x59B042

Divisor Catalog (8)

1 2 151 302 19,463 38,926 2,938,913 5,877,826

Collatz Trajectory (245 steps to reach 1)

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

5,877,826 2,938,913 8,816,740 4,408,370 2,204,185 6,612,556 3,306,278 1,653,139 4,959,418 2,479,709 7,439,128 3,719,564 1,859,782 929,891 2,789,674 1,394,837 4,184,512 2,092,256 1,046,128 523,064 261,532 130,766 65,383 196,150 98,075 294,226 147,113 441,340 220,670 110,335 331,006 165,503 496,510 248,255 744,766 372,383 1,117,150 558,575 1,675,726 837,863 2,513,590 1,256,795 3,770,386 1,885,193 5,655,580 2,827,790 1,413,895 4,241,686 2,120,843 6,362,530 3,181,265 9,543,796 4,771,898 2,385,949 7,157,848 3,578,924 1,789,462 894,731 2,684,194 1,342,097

More profiles

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