λ
Ratio Atlas

1,705,871

1705871
Deficient Odd Prime

1,705,871 factors as 1705871. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 1705871
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,705,872
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1705861 ← → #1705883

Radix Representation

Decimal 1705871
Binary 110100000011110001111 (21 bits)
Octal 0o6403617
Hexadecimal 0x1A078F

Divisor Catalog (2)

Collatz Trajectory (75 steps to reach 1)

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

1,705,871 5,117,614 2,558,807 7,676,422 3,838,211 11,514,634 5,757,317 17,271,952 8,635,976 4,317,988 2,158,994 1,079,497 3,238,492 1,619,246 809,623 2,428,870 1,214,435 3,643,306 1,821,653 5,464,960 2,732,480 1,366,240 683,120 341,560 170,780 85,390 42,695 128,086 64,043 192,130 96,065 288,196 144,098 72,049 216,148 108,074 54,037 162,112 81,056 40,528 20,264 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808

More profiles

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