λ
Sequence Observatory

1,312,914

2 × 3 × 218819
Abundant Even Composite

Starting at 1,312,914, the Collatz iteration reaches 1 after 186 steps. The first transition is 656457; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 218819
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,625,840
Proper Divisor Sum 1,312,926
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1312907 ← → #1312921

Radix Representation

Decimal 1312914
Binary 101000000100010010010 (21 bits)
Octal 0o5004222
Hexadecimal 0x140892

Divisor Catalog (8)

1 2 3 6 218,819 437,638 656,457 1,312,914

Collatz Trajectory (186 steps to reach 1)

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

1,312,914 656,457 1,969,372 984,686 492,343 1,477,030 738,515 2,215,546 1,107,773 3,323,320 1,661,660 830,830 415,415 1,246,246 623,123 1,869,370 934,685 2,804,056 1,402,028 701,014 350,507 1,051,522 525,761 1,577,284 788,642 394,321 1,182,964 591,482 295,741 887,224 443,612 221,806 110,903 332,710 166,355 499,066 249,533 748,600 374,300 187,150 93,575 280,726 140,363 421,090 210,545 631,636 315,818 157,909 473,728 236,864 118,432 59,216 29,608 14,804 7,402 3,701 11,104 5,552 2,776 1,388

More profiles

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