7,195,275

3² × 5² × 113 × 283

Starting at 7,195,275, the Collatz iteration reaches 1 after 90 steps. The first transition is 21585826; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 113 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 13,047,528

Proper Divisor Sum 5,852,253

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7195261 ← → #7195283

Radix Representation

Decimal	7195275
Binary	11011011100101010001011 (23 bits)
Octal	0o33345213
Hexadecimal	0x6DCA8B

Divisor Catalog (36)

1 3 5 9 15 25 45 75 113 225 283 339 565 849 1,017 1,415 1,695 2,547 2,825 4,245 5,085 7,075 8,475 12,735 21,225 25,425 31,979 63,675 95,937 159,895 287,811 479,685 799,475 1,439,055 2,398,425 7,195,275

Collatz Trajectory (90 steps to reach 1)

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

7,195,275 21,585,826 10,792,913 32,378,740 16,189,370 8,094,685 24,284,056 12,142,028 6,071,014 3,035,507 9,106,522 4,553,261 13,659,784 6,829,892 3,414,946 1,707,473 5,122,420 2,561,210 1,280,605 3,841,816 1,920,908 960,454 480,227 1,440,682 720,341 2,161,024 1,080,512 540,256 270,128 135,064 67,532 33,766 16,883 50,650 25,325 75,976 37,988 18,994 9,497 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609

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