λ
Harmonic Matrix

448,922

2 × 224461
Deficient Even Composite

448,922 has digital root 2. The neighboring primes are 448907 and 448927; its proper-divisor sum differs from the starting integer by -224,458.

Prime Factor Structure

Factorization String 2 × 224461
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 673,386
Proper Divisor Sum 224,464
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #448907 ← → #448927

Radix Representation

Decimal 448922
Binary 1101101100110011010 (19 bits)
Octal 0o1554632
Hexadecimal 0x6D99A

Divisor Catalog (4)

1 2 224,461 448,922

Collatz Trajectory (112 steps to reach 1)

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

448,922 224,461 673,384 336,692 168,346 84,173 252,520 126,260 63,130 31,565 94,696 47,348 23,674 11,837 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479

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