7,203,620

2² × 5 × 360181

7,203,620 factors as 2^2 × 5 × 360181. Its 12 positive divisors give a proper-divisor sum of 7,924,024, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 360181

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,127,644

Proper Divisor Sum 7,924,024

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7203617 ← → #7203649

Radix Representation

Decimal	7203620
Binary	11011011110101100100100 (23 bits)
Octal	0o33365444
Hexadecimal	0x6DEB24

Divisor Catalog (12)

1 2 4 5 10 20 360,181 720,362 1,440,724 1,800,905 3,601,810 7,203,620

Collatz Trajectory (235 steps to reach 1)

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

7,203,620 3,601,810 1,800,905 5,402,716 2,701,358 1,350,679 4,052,038 2,026,019 6,078,058 3,039,029 9,117,088 4,558,544 2,279,272 1,139,636 569,818 284,909 854,728 427,364 213,682 106,841 320,524 160,262 80,131 240,394 120,197 360,592 180,296 90,148 45,074 22,537 67,612 33,806 16,903 50,710 25,355 76,066 38,033 114,100 57,050 28,525 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618

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