λ
Harmonic Matrix

5,826,483

32 × 13 × 19 × 2621
Deficient Odd Composite

5,826,483 has digital root 9. The neighboring primes are 5826451 and 5826493; its proper-divisor sum differs from the starting integer by -2,108,886.

Prime Factor Structure

Factorization String 3^2 × 13 × 19 × 2621
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,544,080
Proper Divisor Sum 3,717,597
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5826451 ← → #5826493

Radix Representation

Decimal 5826483
Binary 10110001110011110110011 (23 bits)
Octal 0o26163663
Hexadecimal 0x58E7B3

Divisor Catalog (24)

1 3 9 13 19 39 57 117 171 247 741 2,223 2,621 7,863 23,589 34,073 49,799 102,219 149,397 306,657 448,191 647,387 1,942,161 5,826,483

Collatz Trajectory (90 steps to reach 1)

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

5,826,483 17,479,450 8,739,725 26,219,176 13,109,588 6,554,794 3,277,397 9,832,192 4,916,096 2,458,048 1,229,024 614,512 307,256 153,628 76,814 38,407 115,222 57,611 172,834 86,417 259,252 129,626 64,813 194,440 97,220 48,610 24,305 72,916 36,458 18,229 54,688 27,344 13,672 6,836 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

More profiles

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