λ
Harmonic Matrix

900,362

2 × 547 × 823
Deficient Even Composite

900,362 has digital root 2. The neighboring primes are 900349 and 900397; its proper-divisor sum differs from the starting integer by -446,068.

Prime Factor Structure

Factorization String 2 × 547 × 823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,354,656
Proper Divisor Sum 454,294
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #900349 ← → #900397

Radix Representation

Decimal 900362
Binary 11011011110100001010 (20 bits)
Octal 0o3336412
Hexadecimal 0xDBD0A

Divisor Catalog (8)

1 2 547 823 1,094 1,646 450,181 900,362

Collatz Trajectory (157 steps to reach 1)

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

900,362 450,181 1,350,544 675,272 337,636 168,818 84,409 253,228 126,614 63,307 189,922 94,961 284,884 142,442 71,221 213,664 106,832 53,416 26,708 13,354 6,677 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970

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