λ
Prime Ledger

1,921,521

3 × 7 × 37 × 2473
Deficient Odd Composite

1,921,521 has the prime decomposition 3 × 7 × 37 × 2473. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 2473
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,008,384
Proper Divisor Sum 1,086,863
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1921499 ← → #1921529

Radix Representation

Decimal 1921521
Binary 111010101000111110001 (21 bits)
Octal 0o7250761
Hexadecimal 0x1D51F1

Divisor Catalog (16)

1 3 7 21 37 111 259 777 2,473 7,419 17,311 51,933 91,501 274,503 640,507 1,921,521

Collatz Trajectory (70 steps to reach 1)

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

1,921,521 5,764,564 2,882,282 1,441,141 4,323,424 2,161,712 1,080,856 540,428 270,214 135,107 405,322 202,661 607,984 303,992 151,996 75,998 37,999 113,998 56,999 170,998 85,499 256,498 128,249 384,748 192,374 96,187 288,562 144,281 432,844 216,422 108,211 324,634 162,317 486,952 243,476 121,738 60,869 182,608 91,304 45,652 22,826 11,413 34,240 17,120 8,560 4,280 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340

More profiles

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