λ
Sigma Notebook

9,878,337

32 × 7 × 156799
Deficient Odd Composite

9,878,337 is odd and not a perfect square. Its factorization is 3^2 × 7 × 156799 and its 12 divisors sum to 16,307,200.

Prime Factor Structure

Factorization String 3^2 × 7 × 156799
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,307,200
Proper Divisor Sum 6,428,863
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9878333 ← → #9878353

Radix Representation

Decimal 9878337
Binary 100101101011101101000001 (24 bits)
Octal 0o45535501
Hexadecimal 0x96BB41

Divisor Catalog (12)

1 3 7 9 21 63 156,799 470,397 1,097,593 1,411,191 3,292,779 9,878,337

Collatz Trajectory (132 steps to reach 1)

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

9,878,337 29,635,012 14,817,506 7,408,753 22,226,260 11,113,130 5,556,565 16,669,696 8,334,848 4,167,424 2,083,712 1,041,856 520,928 260,464 130,232 65,116 32,558 16,279 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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