λ
Harmonic Matrix

623,426

2 × 311713
Deficient Even Composite

623,426 has digital root 5. The neighboring primes are 623423 and 623431; its proper-divisor sum differs from the starting integer by -311,710.

Prime Factor Structure

Factorization String 2 × 311713
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 935,142
Proper Divisor Sum 311,716
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #623423 ← → #623431

Radix Representation

Decimal 623426
Binary 10011000001101000010 (20 bits)
Octal 0o2301502
Hexadecimal 0x98342

Divisor Catalog (4)

1 2 311,713 623,426

Collatz Trajectory (203 steps to reach 1)

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

623,426 311,713 935,140 467,570 233,785 701,356 350,678 175,339 526,018 263,009 789,028 394,514 197,257 591,772 295,886 147,943 443,830 221,915 665,746 332,873 998,620 499,310 249,655 748,966 374,483 1,123,450 561,725 1,685,176 842,588 421,294 210,647 631,942 315,971 947,914 473,957 1,421,872 710,936 355,468 177,734 88,867 266,602 133,301 399,904 199,952 99,976 49,988 24,994 12,497 37,492 18,746 9,373 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955

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