345,845

5 × 263²

345,845 has digital root 2. The neighboring primes are 345823 and 345853; its proper-divisor sum differs from the starting integer by -275,092.

Prime Factor Structure

Factorization String 5 × 263^2

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 416,598

Proper Divisor Sum 70,753

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #345823 ← → #345853

Radix Representation

Decimal	345845
Binary	1010100011011110101 (19 bits)
Octal	0o1243365
Hexadecimal	0x546F5

Divisor Catalog (6)

1 5 263 1,315 69,169 345,845

Collatz Trajectory (166 steps to reach 1)

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

345,845 1,037,536 518,768 259,384 129,692 64,846 32,423 97,270 48,635 145,906 72,953 218,860 109,430 54,715 164,146 82,073 246,220 123,110 61,555 184,666 92,333 277,000 138,500 69,250 34,625 103,876 51,938 25,969 77,908 38,954 19,477 58,432 29,216 14,608 7,304 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62

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