λ
Harmonic Matrix

5,827,630

2 × 5 × 582763
Deficient Even Composite

5,827,630 has digital root 4. The neighboring primes are 5827603 and 5827639; its proper-divisor sum differs from the starting integer by -1,165,508.

Prime Factor Structure

Factorization String 2 × 5 × 582763
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,489,752
Proper Divisor Sum 4,662,122
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5827603 ← → #5827639

Radix Representation

Decimal 5827630
Binary 10110001110110000101110 (23 bits)
Octal 0o26166056
Hexadecimal 0x58EC2E

Divisor Catalog (8)

1 2 5 10 582,763 1,165,526 2,913,815 5,827,630

Collatz Trajectory (152 steps to reach 1)

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

5,827,630 2,913,815 8,741,446 4,370,723 13,112,170 6,556,085 19,668,256 9,834,128 4,917,064 2,458,532 1,229,266 614,633 1,843,900 921,950 460,975 1,382,926 691,463 2,074,390 1,037,195 3,111,586 1,555,793 4,667,380 2,333,690 1,166,845 3,500,536 1,750,268 875,134 437,567 1,312,702 656,351 1,969,054 984,527 2,953,582 1,476,791 4,430,374 2,215,187 6,645,562 3,322,781 9,968,344 4,984,172 2,492,086 1,246,043 3,738,130 1,869,065 5,607,196 2,803,598 1,401,799 4,205,398 2,102,699 6,308,098 3,154,049 9,462,148 4,731,074 2,365,537 7,096,612 3,548,306 1,774,153 5,322,460 2,661,230 1,330,615

More profiles

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