λ
Prime Ledger

9,179,397

32 × 592 × 293
Deficient Odd Composite

9,179,397 has the prime decomposition 3^2 × 59^2 × 293. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 59^2 × 293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 13,533,702
Proper Divisor Sum 4,354,305
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9179389 ← → #9179407

Radix Representation

Decimal 9179397
Binary 100011000001000100000101 (24 bits)
Octal 0o43010405
Hexadecimal 0x8C1105

Divisor Catalog (18)

1 3 9 59 177 293 531 879 2,637 3,481 10,443 17,287 31,329 51,861 155,583 1,019,933 3,059,799 9,179,397

Collatz Trajectory (150 steps to reach 1)

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

9,179,397 27,538,192 13,769,096 6,884,548 3,442,274 1,721,137 5,163,412 2,581,706 1,290,853 3,872,560 1,936,280 968,140 484,070 242,035 726,106 363,053 1,089,160 544,580 272,290 136,145 408,436 204,218 102,109 306,328 153,164 76,582 38,291 114,874 57,437 172,312 86,156 43,078 21,539 64,618 32,309 96,928 48,464 24,232 12,116 6,058 3,029 9,088 4,544 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274

More profiles

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