7,580,390

2 × 5 × 83 × 9133

Starting at 7,580,390, the Collatz iteration reaches 1 after 217 steps. The first transition is 3790195; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 83 × 9133

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,810,608

Proper Divisor Sum 6,230,218

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7580389 ← → #7580401

Radix Representation

Decimal	7580390
Binary	11100111010101011100110 (23 bits)
Octal	0o34725346
Hexadecimal	0x73AAE6

Divisor Catalog (16)

1 2 5 10 83 166 415 830 9,133 18,266 45,665 91,330 758,039 1,516,078 3,790,195 7,580,390

Collatz Trajectory (217 steps to reach 1)

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

7,580,390 3,790,195 11,370,586 5,685,293 17,055,880 8,527,940 4,263,970 2,131,985 6,395,956 3,197,978 1,598,989 4,796,968 2,398,484 1,199,242 599,621 1,798,864 899,432 449,716 224,858 112,429 337,288 168,644 84,322 42,161 126,484 63,242 31,621 94,864 47,432 23,716 11,858 5,929 17,788 8,894 4,447 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112

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