λ
Prime Ledger

9,178,472

23 × 23 × 83 × 601
Deficient Even Composite

9,178,472 has the prime decomposition 2^3 × 23 × 83 × 601. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 23 × 83 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,204,480
Proper Divisor Sum 9,026,008
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9178459 ← → #9178483

Radix Representation

Decimal 9178472
Binary 100011000000110101101000 (24 bits)
Octal 0o43006550
Hexadecimal 0x8C0D68

Divisor Catalog (32)

1 2 4 8 23 46 83 92 166 184 332 601 664 1,202 1,909 2,404 3,818 4,808 7,636 13,823 15,272 27,646 49,883 55,292 99,766 110,584 199,532 399,064 1,147,309 2,294,618 4,589,236 9,178,472

Collatz Trajectory (225 steps to reach 1)

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

9,178,472 4,589,236 2,294,618 1,147,309 3,441,928 1,720,964 860,482 430,241 1,290,724 645,362 322,681 968,044 484,022 242,011 726,034 363,017 1,089,052 544,526 272,263 816,790 408,395 1,225,186 612,593 1,837,780 918,890 459,445 1,378,336 689,168 344,584 172,292 86,146 43,073 129,220 64,610 32,305 96,916 48,458 24,229 72,688 36,344 18,172 9,086 4,543 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229

More profiles

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