λ
Prime Ledger

7,323,427

163 × 179 × 251
Deficient Odd Composite

7,323,427 has the prime decomposition 163 × 179 × 251. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 163 × 179 × 251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,439,040
Proper Divisor Sum 115,613
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7323419 ← → #7323439

Radix Representation

Decimal 7323427
Binary 11011111011111100100011 (23 bits)
Octal 0o33737443
Hexadecimal 0x6FBF23

Divisor Catalog (8)

1 163 179 251 29,177 40,913 44,929 7,323,427

Collatz Trajectory (173 steps to reach 1)

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

7,323,427 21,970,282 10,985,141 32,955,424 16,477,712 8,238,856 4,119,428 2,059,714 1,029,857 3,089,572 1,544,786 772,393 2,317,180 1,158,590 579,295 1,737,886 868,943 2,606,830 1,303,415 3,910,246 1,955,123 5,865,370 2,932,685 8,798,056 4,399,028 2,199,514 1,099,757 3,299,272 1,649,636 824,818 412,409 1,237,228 618,614 309,307 927,922 463,961 1,391,884 695,942 347,971 1,043,914 521,957 1,565,872 782,936 391,468 195,734 97,867 293,602 146,801 440,404 220,202 110,101 330,304 165,152 82,576 41,288 20,644 10,322 5,161 15,484 7,742

More profiles

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