λ
Matchaa Zalai

312,709

312709
Deficient Odd Prime

312,709 factors as 312709. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 312709
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 312,710
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #312703 ← → #312727

Radix Representation

Decimal 312709
Binary 1001100010110000101 (19 bits)
Octal 0o1142605
Hexadecimal 0x4C585

Divisor Catalog (2)

Collatz Trajectory (171 steps to reach 1)

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

312,709 938,128 469,064 234,532 117,266 58,633 175,900 87,950 43,975 131,926 65,963 197,890 98,945 296,836 148,418 74,209 222,628 111,314 55,657 166,972 83,486 41,743 125,230 62,615 187,846 93,923 281,770 140,885 422,656 211,328 105,664 52,832 26,416 13,208 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332

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