7,590,220

2² × 5 × 11 × 34501

Starting at 7,590,220, the Collatz iteration reaches 1 after 103 steps. The first transition is 3795110; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 34501

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,389,008

Proper Divisor Sum 9,798,788

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7590197 ← → #7590221

Radix Representation

Decimal	7590220
Binary	11100111101000101001100 (23 bits)
Octal	0o34750514
Hexadecimal	0x73D14C

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 34,501 69,002 138,004 172,505 345,010 379,511 690,020 759,022 1,518,044 1,897,555 3,795,110 7,590,220

Collatz Trajectory (103 steps to reach 1)

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

7,590,220 3,795,110 1,897,555 5,692,666 2,846,333 8,539,000 4,269,500 2,134,750 1,067,375 3,202,126 1,601,063 4,803,190 2,401,595 7,204,786 3,602,393 10,807,180 5,403,590 2,701,795 8,105,386 4,052,693 12,158,080 6,079,040 3,039,520 1,519,760 759,880 379,940 189,970 94,985 284,956 142,478 71,239 213,718 106,859 320,578 160,289 480,868 240,434 120,217 360,652 180,326 90,163 270,490 135,245 405,736 202,868 101,434 50,717 152,152 76,076 38,038 19,019 57,058 28,529 85,588 42,794 21,397 64,192 32,096 16,048 8,024

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