7,666,565

5 × 1533313

Starting at 7,666,565, the Collatz iteration reaches 1 after 124 steps. The first transition is 22999696; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1533313

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 9,199,884

Proper Divisor Sum 1,533,319

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7666559 ← → #7666573

Radix Representation

Decimal	7666565
Binary	11101001111101110000101 (23 bits)
Octal	0o35175605
Hexadecimal	0x74FB85

Divisor Catalog (4)

1 5 1,533,313 7,666,565

Collatz Trajectory (124 steps to reach 1)

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

7,666,565 22,999,696 11,499,848 5,749,924 2,874,962 1,437,481 4,312,444 2,156,222 1,078,111 3,234,334 1,617,167 4,851,502 2,425,751 7,277,254 3,638,627 10,915,882 5,457,941 16,373,824 8,186,912 4,093,456 2,046,728 1,023,364 511,682 255,841 767,524 383,762 191,881 575,644 287,822 143,911 431,734 215,867 647,602 323,801 971,404 485,702 242,851 728,554 364,277 1,092,832 546,416 273,208 136,604 68,302 34,151 102,454 51,227 153,682 76,841 230,524 115,262 57,631 172,894 86,447 259,342 129,671 389,014 194,507 583,522 291,761

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