λ
Integer Codex

634,382

2 × 7 × 113 × 401
Deficient Even Composite

For 634,382, the 16 positive divisors have a total of 1,099,872. Removing 634,382 leaves 465,490, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 113 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,099,872
Proper Divisor Sum 465,490
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #634373 ← → #634397

Radix Representation

Decimal 634382
Binary 10011010111000001110 (20 bits)
Octal 0o2327016
Hexadecimal 0x9AE0E

Divisor Catalog (16)

1 2 7 14 113 226 401 791 802 1,582 2,807 5,614 45,313 90,626 317,191 634,382

Collatz Trajectory (79 steps to reach 1)

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

634,382 317,191 951,574 475,787 1,427,362 713,681 2,141,044 1,070,522 535,261 1,605,784 802,892 401,446 200,723 602,170 301,085 903,256 451,628 225,814 112,907 338,722 169,361 508,084 254,042 127,021 381,064 190,532 95,266 47,633 142,900 71,450 35,725 107,176 53,588 26,794 13,397 40,192 20,096 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19

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