λ
Prime Ledger

1,731,391

127 × 13633
Deficient Odd Composite

1,731,391 has the prime decomposition 127 × 13633. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 127 × 13633
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,745,152
Proper Divisor Sum 13,761
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1731383 ← → #1731397

Radix Representation

Decimal 1731391
Binary 110100110101100111111 (21 bits)
Octal 0o6465477
Hexadecimal 0x1A6B3F

Divisor Catalog (4)

1 127 13,633 1,731,391

Collatz Trajectory (176 steps to reach 1)

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

1,731,391 5,194,174 2,597,087 7,791,262 3,895,631 11,686,894 5,843,447 17,530,342 8,765,171 26,295,514 13,147,757 39,443,272 19,721,636 9,860,818 4,930,409 14,791,228 7,395,614 3,697,807 11,093,422 5,546,711 16,640,134 8,320,067 24,960,202 12,480,101 37,440,304 18,720,152 9,360,076 4,680,038 2,340,019 7,020,058 3,510,029 10,530,088 5,265,044 2,632,522 1,316,261 3,948,784 1,974,392 987,196 493,598 246,799 740,398 370,199 1,110,598 555,299 1,665,898 832,949 2,498,848 1,249,424 624,712 312,356 156,178 78,089 234,268 117,134 58,567 175,702 87,851 263,554 131,777 395,332

More profiles

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