Integer 828,382 Profile | Ratio Atlas

828,382

2 × 31² × 431

Prime Factor Structure

Factorization String 2 × 31^2 × 431

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,286,928

Proper Divisor Sum 458,546

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #828379 ← → #828383

Radix Representation

Decimal	828382
Binary	11001010001111011110 (20 bits)
Octal	0o3121736
Hexadecimal	0xCA3DE

Divisor Catalog (12)

1 2 31 62 431 862 961 1,922 13,361 26,722 414,191 828,382

Collatz Trajectory (162 steps to reach 1)

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

828,382 414,191 1,242,574 621,287 1,863,862 931,931 2,795,794 1,397,897 4,193,692 2,096,846 1,048,423 3,145,270 1,572,635 4,717,906 2,358,953 7,076,860 3,538,430 1,769,215 5,307,646 2,653,823 7,961,470 3,980,735 11,942,206 5,971,103 17,913,310 8,956,655 26,869,966 13,434,983 40,304,950 20,152,475 60,457,426 30,228,713 90,686,140 45,343,070 22,671,535 68,014,606 34,007,303 102,021,910 51,010,955 153,032,866 76,516,433 229,549,300 114,774,650 57,387,325 172,161,976 86,080,988 43,040,494 21,520,247 64,560,742 32,280,371 96,841,114 48,420,557 145,261,672 72,630,836 36,315,418 18,157,709 54,473,128 27,236,564 13,618,282 6,809,141

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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