λ
Harmonic Matrix

9,828,404

22 × 743 × 3307
Deficient Even Composite

9,828,404 has digital root 8. The neighboring primes are 9828391 and 9828433; its proper-divisor sum differs from the starting integer by -2,428,744.

Prime Factor Structure

Factorization String 2^2 × 743 × 3307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,228,064
Proper Divisor Sum 7,399,660
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9828391 ← → #9828433

Radix Representation

Decimal 9828404
Binary 100101011111100000110100 (24 bits)
Octal 0o45374064
Hexadecimal 0x95F834

Divisor Catalog (12)

1 2 4 743 1,486 2,972 3,307 6,614 13,228 2,457,101 4,914,202 9,828,404

Collatz Trajectory (207 steps to reach 1)

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

9,828,404 4,914,202 2,457,101 7,371,304 3,685,652 1,842,826 921,413 2,764,240 1,382,120 691,060 345,530 172,765 518,296 259,148 129,574 64,787 194,362 97,181 291,544 145,772 72,886 36,443 109,330 54,665 163,996 81,998 40,999 122,998 61,499 184,498 92,249 276,748 138,374 69,187 207,562 103,781 311,344 155,672 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394

More profiles

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