7,318,341

3² × 37 × 21977

7,318,341 has the prime decomposition 3^2 × 37 × 21977. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 37 × 21977

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,857,132

Proper Divisor Sum 3,538,791

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7318327 ← → #7318349

Radix Representation

Decimal	7318341
Binary	11011111010101101000101 (23 bits)
Octal	0o33725505
Hexadecimal	0x6FAB45

Divisor Catalog (12)

1 3 9 37 111 333 21,977 65,931 197,793 813,149 2,439,447 7,318,341

Collatz Trajectory (279 steps to reach 1)

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

7,318,341 21,955,024 10,977,512 5,488,756 2,744,378 1,372,189 4,116,568 2,058,284 1,029,142 514,571 1,543,714 771,857 2,315,572 1,157,786 578,893 1,736,680 868,340 434,170 217,085 651,256 325,628 162,814 81,407 244,222 122,111 366,334 183,167 549,502 274,751 824,254 412,127 1,236,382 618,191 1,854,574 927,287 2,781,862 1,390,931 4,172,794 2,086,397 6,259,192 3,129,596 1,564,798 782,399 2,347,198 1,173,599 3,520,798 1,760,399 5,281,198 2,640,599 7,921,798 3,960,899 11,882,698 5,941,349 17,824,048 8,912,024 4,456,012 2,228,006 1,114,003 3,342,010 1,671,005

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