7,513,775

5² × 37 × 8123

7,513,775 factors as 5^2 × 37 × 8123. Its 12 positive divisors give a proper-divisor sum of 2,056,297, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 5^2 × 37 × 8123

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,570,072

Proper Divisor Sum 2,056,297

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7513771 ← → #7513787

Radix Representation

Decimal	7513775
Binary	11100101010011010101111 (23 bits)
Octal	0o34523257
Hexadecimal	0x72A6AF

Divisor Catalog (12)

1 5 25 37 185 925 8,123 40,615 203,075 300,551 1,502,755 7,513,775

Collatz Trajectory (204 steps to reach 1)

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

7,513,775 22,541,326 11,270,663 33,811,990 16,905,995 50,717,986 25,358,993 76,076,980 38,038,490 19,019,245 57,057,736 28,528,868 14,264,434 7,132,217 21,396,652 10,698,326 5,349,163 16,047,490 8,023,745 24,071,236 12,035,618 6,017,809 18,053,428 9,026,714 4,513,357 13,540,072 6,770,036 3,385,018 1,692,509 5,077,528 2,538,764 1,269,382 634,691 1,904,074 952,037 2,856,112 1,428,056 714,028 357,014 178,507 535,522 267,761 803,284 401,642 200,821 602,464 301,232 150,616 75,308 37,654 18,827 56,482 28,241 84,724 42,362 21,181 63,544 31,772 15,886 7,943

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