λ
Prime Ledger

367,873

11 × 53 × 631
Deficient Odd Composite

367,873 has the prime decomposition 11 × 53 × 631. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 53 × 631
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 409,536
Proper Divisor Sum 41,663
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #367867 ← → #367879

Radix Representation

Decimal 367873
Binary 1011001110100000001 (19 bits)
Octal 0o1316401
Hexadecimal 0x59D01

Divisor Catalog (8)

1 11 53 583 631 6,941 33,443 367,873

Collatz Trajectory (91 steps to reach 1)

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

367,873 1,103,620 551,810 275,905 827,716 413,858 206,929 620,788 310,394 155,197 465,592 232,796 116,398 58,199 174,598 87,299 261,898 130,949 392,848 196,424 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666 9,833 29,500 14,750 7,375 22,126 11,063 33,190 16,595 49,786 24,893 74,680 37,340 18,670 9,335 28,006 14,003

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