λ
Prime Ledger

1,271,205

32 × 5 × 13 × 41 × 53
Deficient Odd Composite

1,271,205 has the prime decomposition 3^2 × 5 × 13 × 41 × 53. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 41 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,476,656
Proper Divisor Sum 1,205,451
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1271203 ← → #1271213

Radix Representation

Decimal 1271205
Binary 100110110010110100101 (21 bits)
Octal 0o4662645
Hexadecimal 0x1365A5

Divisor Catalog (48)

1 3 5 9 13 15 39 41 45 53 65 117 123 159 195 205 265 369 477 533 585 615 689 795 1,599 1,845 2,067 2,173 2,385 2,665 3,445 4,797 6,201 6,519 7,995 10,335 10,865 19,557 23,985 28,249 31,005 32,595 84,747 97,785 141,245 254,241 423,735 1,271,205

Collatz Trajectory (173 steps to reach 1)

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

1,271,205 3,813,616 1,906,808 953,404 476,702 238,351 715,054 357,527 1,072,582 536,291 1,608,874 804,437 2,413,312 1,206,656 603,328 301,664 150,832 75,416 37,708 18,854 9,427 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345

More profiles

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