λ
Harmonic Matrix

9,878,432

25 × 308701
Deficient Even Composite

9,878,432 has digital root 5. The neighboring primes are 9878419 and 9878467; its proper-divisor sum differs from the starting integer by -308,638.

Prime Factor Structure

Factorization String 2^5 × 308701
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 19,448,226
Proper Divisor Sum 9,569,794
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9878419 ← → #9878467

Radix Representation

Decimal 9878432
Binary 100101101011101110100000 (24 bits)
Octal 0o45535640
Hexadecimal 0x96BBA0

Divisor Catalog (12)

1 2 4 8 16 32 308,701 617,402 1,234,804 2,469,608 4,939,216 9,878,432

Collatz Trajectory (132 steps to reach 1)

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

9,878,432 4,939,216 2,469,608 1,234,804 617,402 308,701 926,104 463,052 231,526 115,763 347,290 173,645 520,936 260,468 130,234 65,117 195,352 97,676 48,838 24,419 73,258 36,629 109,888 54,944 27,472 13,736 6,868 3,434 1,717 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

More profiles

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