λ
Prime Ledger

67,955

5 × 13591
Deficient Odd Composite

67,955 has the prime decomposition 5 × 13591. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 13591
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 81,552
Proper Divisor Sum 13,597
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #67943 ← → #67957

Radix Representation

Decimal 67955
Binary 10000100101110011 (17 bits)
Octal 0o204563
Hexadecimal 0x10973

Divisor Catalog (4)

1 5 13,591 67,955

Collatz Trajectory (205 steps to reach 1)

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

67,955 203,866 101,933 305,800 152,900 76,450 38,225 114,676 57,338 28,669 86,008 43,004 21,502 10,751 32,254 16,127 48,382 24,191 72,574 36,287 108,862 54,431 163,294 81,647 244,942 122,471 367,414 183,707 551,122 275,561 826,684 413,342 206,671 620,014 310,007 930,022 465,011 1,395,034 697,517 2,092,552 1,046,276 523,138 261,569 784,708 392,354 196,177 588,532 294,266 147,133 441,400 220,700 110,350 55,175 165,526 82,763 248,290 124,145 372,436 186,218 93,109

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