7,672,027

11 × 697457

Starting at 7,672,027, the Collatz iteration reaches 1 after 173 steps. The first transition is 23016082; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 697457

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,369,496

Proper Divisor Sum 697,469

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7672019 ← → #7672033

Radix Representation

Decimal	7672027
Binary	11101010001000011011011 (23 bits)
Octal	0o35210333
Hexadecimal	0x7510DB

Divisor Catalog (4)

1 11 697,457 7,672,027

Collatz Trajectory (173 steps to reach 1)

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

7,672,027 23,016,082 11,508,041 34,524,124 17,262,062 8,631,031 25,893,094 12,946,547 38,839,642 19,419,821 58,259,464 29,129,732 14,564,866 7,282,433 21,847,300 10,923,650 5,461,825 16,385,476 8,192,738 4,096,369 12,289,108 6,144,554 3,072,277 9,216,832 4,608,416 2,304,208 1,152,104 576,052 288,026 144,013 432,040 216,020 108,010 54,005 162,016 81,008 40,504 20,252 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113

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