772,335

3⁴ × 5 × 1907

772,335 has the prime decomposition 3^4 × 5 × 1907. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 1907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,385,208

Proper Divisor Sum 612,873

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #772333 ← → #772339

Radix Representation

Decimal	772335
Binary	10111100100011101111 (20 bits)
Octal	0o2744357
Hexadecimal	0xBC8EF

Divisor Catalog (20)

1 3 5 9 15 27 45 81 135 405 1,907 5,721 9,535 17,163 28,605 51,489 85,815 154,467 257,445 772,335

Collatz Trajectory (237 steps to reach 1)

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

772,335 2,317,006 1,158,503 3,475,510 1,737,755 5,213,266 2,606,633 7,819,900 3,909,950 1,954,975 5,864,926 2,932,463 8,797,390 4,398,695 13,196,086 6,598,043 19,794,130 9,897,065 29,691,196 14,845,598 7,422,799 22,268,398 11,134,199 33,402,598 16,701,299 50,103,898 25,051,949 75,155,848 37,577,924 18,788,962 9,394,481 28,183,444 14,091,722 7,045,861 21,137,584 10,568,792 5,284,396 2,642,198 1,321,099 3,963,298 1,981,649 5,944,948 2,972,474 1,486,237 4,458,712 2,229,356 1,114,678 557,339 1,672,018 836,009 2,508,028 1,254,014 627,007 1,881,022 940,511 2,821,534 1,410,767 4,232,302 2,116,151 6,348,454

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