7,660,583

7 × 733 × 1493

Starting at 7,660,583, the Collatz iteration reaches 1 after 248 steps. The first transition is 22981750; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 733 × 1493

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,772,768

Proper Divisor Sum 1,112,185

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7660573 ← → #7660589

Radix Representation

Decimal	7660583
Binary	11101001110010000100111 (23 bits)
Octal	0o35162047
Hexadecimal	0x74E427

Divisor Catalog (8)

1 7 733 1,493 5,131 10,451 1,094,369 7,660,583

Collatz Trajectory (248 steps to reach 1)

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

7,660,583 22,981,750 11,490,875 34,472,626 17,236,313 51,708,940 25,854,470 12,927,235 38,781,706 19,390,853 58,172,560 29,086,280 14,543,140 7,271,570 3,635,785 10,907,356 5,453,678 2,726,839 8,180,518 4,090,259 12,270,778 6,135,389 18,406,168 9,203,084 4,601,542 2,300,771 6,902,314 3,451,157 10,353,472 5,176,736 2,588,368 1,294,184 647,092 323,546 161,773 485,320 242,660 121,330 60,665 181,996 90,998 45,499 136,498 68,249 204,748 102,374 51,187 153,562 76,781 230,344 115,172 57,586 28,793 86,380 43,190 21,595 64,786 32,393 97,180 48,590

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