λ
Prime Ledger

9,179,404

22 × 132 × 37 × 367
Deficient Even Composite

9,179,404 has the prime decomposition 2^2 × 13^2 × 37 × 367. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 37 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,913,504
Proper Divisor Sum 8,734,100
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9179389 ← → #9179407

Radix Representation

Decimal 9179404
Binary 100011000001000100001100 (24 bits)
Octal 0o43010414
Hexadecimal 0x8C110C

Divisor Catalog (36)

1 2 4 13 26 37 52 74 148 169 338 367 481 676 734 962 1,468 1,924 4,771 6,253 9,542 12,506 13,579 19,084 25,012 27,158 54,316 62,023 124,046 176,527 248,092 353,054 706,108 2,294,851 4,589,702 9,179,404

Collatz Trajectory (150 steps to reach 1)

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

9,179,404 4,589,702 2,294,851 6,884,554 3,442,277 10,326,832 5,163,416 2,581,708 1,290,854 645,427 1,936,282 968,141 2,904,424 1,452,212 726,106 363,053 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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