7,206,925

5² × 11 × 73 × 359

7,206,925 has the prime decomposition 5^2 × 11 × 73 × 359. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 73 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,910,080

Proper Divisor Sum 2,703,155

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7206919 ← → #7206943

Radix Representation

Decimal	7206925
Binary	11011011111100000001101 (23 bits)
Octal	0o33374015
Hexadecimal	0x6DF80D

Divisor Catalog (24)

1 5 11 25 55 73 275 359 365 803 1,795 1,825 3,949 4,015 8,975 19,745 20,075 26,207 98,725 131,035 288,277 655,175 1,441,385 7,206,925

Collatz Trajectory (116 steps to reach 1)

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

7,206,925 21,620,776 10,810,388 5,405,194 2,702,597 8,107,792 4,053,896 2,026,948 1,013,474 506,737 1,520,212 760,106 380,053 1,140,160 570,080 285,040 142,520 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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