7,755,845

5 × 59 × 61 × 431

Starting at 7,755,845, the Collatz iteration reaches 1 after 93 steps. The first transition is 23267536; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 59 × 61 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,642,240

Proper Divisor Sum 1,886,395

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7755841 ← → #7755851

Radix Representation

Decimal	7755845
Binary	11101100101100001000101 (23 bits)
Octal	0o35454105
Hexadecimal	0x765845

Divisor Catalog (16)

1 5 59 61 295 305 431 2,155 3,599 17,995 25,429 26,291 127,145 131,455 1,551,169 7,755,845

Collatz Trajectory (93 steps to reach 1)

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

7,755,845 23,267,536 11,633,768 5,816,884 2,908,442 1,454,221 4,362,664 2,181,332 1,090,666 545,333 1,636,000 818,000 409,000 204,500 102,250 51,125 153,376 76,688 38,344 19,172 9,586 4,793 14,380 7,190 3,595 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376

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