λ
Sigma Notebook

1,284,784

24 × 59 × 1361
Deficient Even Composite

1,284,784 is even and not a perfect square. Its factorization is 2^4 × 59 × 1361 and its 20 divisors sum to 2,533,320.

Prime Factor Structure

Factorization String 2^4 × 59 × 1361
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,533,320
Proper Divisor Sum 1,248,536
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1284769 ← → #1284791

Radix Representation

Decimal 1284784
Binary 100111001101010110000 (21 bits)
Octal 0o4715260
Hexadecimal 0x139AB0

Divisor Catalog (20)

1 2 4 8 16 59 118 236 472 944 1,361 2,722 5,444 10,888 21,776 80,299 160,598 321,196 642,392 1,284,784

Collatz Trajectory (292 steps to reach 1)

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

1,284,784 642,392 321,196 160,598 80,299 240,898 120,449 361,348 180,674 90,337 271,012 135,506 67,753 203,260 101,630 50,815 152,446 76,223 228,670 114,335 343,006 171,503 514,510 257,255 771,766 385,883 1,157,650 578,825 1,736,476 868,238 434,119 1,302,358 651,179 1,953,538 976,769 2,930,308 1,465,154 732,577 2,197,732 1,098,866 549,433 1,648,300 824,150 412,075 1,236,226 618,113 1,854,340 927,170 463,585 1,390,756 695,378 347,689 1,043,068 521,534 260,767 782,302 391,151 1,173,454 586,727 1,760,182

More profiles

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