7,659,057

3 × 7 × 364717

Starting at 7,659,057, the Collatz iteration reaches 1 after 124 steps. The first transition is 22977172; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 364717

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,670,976

Proper Divisor Sum 4,011,919

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7659053 ← → #7659059

Radix Representation

Decimal	7659057
Binary	11101001101111000110001 (23 bits)
Octal	0o35157061
Hexadecimal	0x74DE31

Divisor Catalog (8)

1 3 7 21 364,717 1,094,151 2,553,019 7,659,057

Collatz Trajectory (124 steps to reach 1)

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

7,659,057 22,977,172 11,488,586 5,744,293 17,232,880 8,616,440 4,308,220 2,154,110 1,077,055 3,231,166 1,615,583 4,846,750 2,423,375 7,270,126 3,635,063 10,905,190 5,452,595 16,357,786 8,178,893 24,536,680 12,268,340 6,134,170 3,067,085 9,201,256 4,600,628 2,300,314 1,150,157 3,450,472 1,725,236 862,618 431,309 1,293,928 646,964 323,482 161,741 485,224 242,612 121,306 60,653 181,960 90,980 45,490 22,745 68,236 34,118 17,059 51,178 25,589 76,768 38,384 19,192 9,596 4,798 2,399 7,198 3,599 10,798 5,399 16,198 8,099

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