7,780,165

5 × 829 × 1877

7,780,165 factors as 5 × 829 × 1877. Its 8 positive divisors give a proper-divisor sum of 1,572,275, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 5 × 829 × 1877

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,352,440

Proper Divisor Sum 1,572,275

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7780159 ← → #7780181

Radix Representation

Decimal	7780165
Binary	11101101011011101000101 (23 bits)
Octal	0o35533505
Hexadecimal	0x76B745

Divisor Catalog (8)

1 5 829 1,877 4,145 9,385 1,556,033 7,780,165

Collatz Trajectory (80 steps to reach 1)

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

7,780,165 23,340,496 11,670,248 5,835,124 2,917,562 1,458,781 4,376,344 2,188,172 1,094,086 547,043 1,641,130 820,565 2,461,696 1,230,848 615,424 307,712 153,856 76,928 38,464 19,232 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232

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