λ
Prime Ledger

1,292,726

2 × 317 × 2039
Deficient Even Composite

1,292,726 has the prime decomposition 2 × 317 × 2039. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 317 × 2039
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,946,160
Proper Divisor Sum 653,434
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1292717 ← → #1292729

Radix Representation

Decimal 1292726
Binary 100111011100110110110 (21 bits)
Octal 0o4734666
Hexadecimal 0x13B9B6

Divisor Catalog (8)

1 2 317 634 2,039 4,078 646,363 1,292,726

Collatz Trajectory (204 steps to reach 1)

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

1,292,726 646,363 1,939,090 969,545 2,908,636 1,454,318 727,159 2,181,478 1,090,739 3,272,218 1,636,109 4,908,328 2,454,164 1,227,082 613,541 1,840,624 920,312 460,156 230,078 115,039 345,118 172,559 517,678 258,839 776,518 388,259 1,164,778 582,389 1,747,168 873,584 436,792 218,396 109,198 54,599 163,798 81,899 245,698 122,849 368,548 184,274 92,137 276,412 138,206 69,103 207,310 103,655 310,966 155,483 466,450 233,225 699,676 349,838 174,919 524,758 262,379 787,138 393,569 1,180,708 590,354 295,177

More profiles

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