λ
Harmonic Matrix

626,819

23 × 27253
Deficient Odd Composite

626,819 has digital root 5. The neighboring primes are 626809 and 626833; its proper-divisor sum differs from the starting integer by -599,542.

Prime Factor Structure

Factorization String 23 × 27253
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 654,096
Proper Divisor Sum 27,277
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #626809 ← → #626833

Radix Representation

Decimal 626819
Binary 10011001000010000011 (20 bits)
Octal 0o2310203
Hexadecimal 0x99083

Divisor Catalog (4)

1 23 27,253 626,819

Collatz Trajectory (172 steps to reach 1)

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

626,819 1,880,458 940,229 2,820,688 1,410,344 705,172 352,586 176,293 528,880 264,440 132,220 66,110 33,055 99,166 49,583 148,750 74,375 223,126 111,563 334,690 167,345 502,036 251,018 125,509 376,528 188,264 94,132 47,066 23,533 70,600 35,300 17,650 8,825 26,476 13,238 6,619 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664

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