λ
Prime Ledger

9,536,008

23 × 61 × 19541
Deficient Even Composite

9,536,008 has the prime decomposition 2^3 × 61 × 19541. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 61 × 19541
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,174,060
Proper Divisor Sum 8,638,052
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9535979 ← → #9536017

Radix Representation

Decimal 9536008
Binary 100100011000001000001000 (24 bits)
Octal 0o44301010
Hexadecimal 0x918208

Divisor Catalog (16)

1 2 4 8 61 122 244 488 19,541 39,082 78,164 156,328 1,192,001 2,384,002 4,768,004 9,536,008

Collatz Trajectory (101 steps to reach 1)

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

9,536,008 4,768,004 2,384,002 1,192,001 3,576,004 1,788,002 894,001 2,682,004 1,341,002 670,501 2,011,504 1,005,752 502,876 251,438 125,719 377,158 188,579 565,738 282,869 848,608 424,304 212,152 106,076 53,038 26,519 79,558 39,779 119,338 59,669 179,008 89,504 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281

More profiles

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