7,205,779

7 × 619 × 1663

Starting at 7,205,779, the Collatz iteration reaches 1 after 173 steps. The first transition is 21617338; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 619 × 1663

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,253,440

Proper Divisor Sum 1,047,661

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7205771 ← → #7205797

Radix Representation

Decimal	7205779
Binary	11011011111001110010011 (23 bits)
Octal	0o33371623
Hexadecimal	0x6DF393

Divisor Catalog (8)

1 7 619 1,663 4,333 11,641 1,029,397 7,205,779

Collatz Trajectory (173 steps to reach 1)

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

7,205,779 21,617,338 10,808,669 32,426,008 16,213,004 8,106,502 4,053,251 12,159,754 6,079,877 18,239,632 9,119,816 4,559,908 2,279,954 1,139,977 3,419,932 1,709,966 854,983 2,564,950 1,282,475 3,847,426 1,923,713 5,771,140 2,885,570 1,442,785 4,328,356 2,164,178 1,082,089 3,246,268 1,623,134 811,567 2,434,702 1,217,351 3,652,054 1,826,027 5,478,082 2,739,041 8,217,124 4,108,562 2,054,281 6,162,844 3,081,422 1,540,711 4,622,134 2,311,067 6,933,202 3,466,601 10,399,804 5,199,902 2,599,951 7,799,854 3,899,927 11,699,782 5,849,891 17,549,674 8,774,837 26,324,512 13,162,256 6,581,128 3,290,564 1,645,282

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