λ
Sequence Observatory

745,746

2 × 3 × 124291
Abundant Even Composite

Starting at 745,746, the Collatz iteration reaches 1 after 162 steps. The first transition is 372873; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 124291
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,491,504
Proper Divisor Sum 745,758
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #745741 ← → #745747

Radix Representation

Decimal 745746
Binary 10110110000100010010 (20 bits)
Octal 0o2660422
Hexadecimal 0xB6112

Divisor Catalog (8)

1 2 3 6 124,291 248,582 372,873 745,746

Collatz Trajectory (162 steps to reach 1)

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

745,746 372,873 1,118,620 559,310 279,655 838,966 419,483 1,258,450 629,225 1,887,676 943,838 471,919 1,415,758 707,879 2,123,638 1,061,819 3,185,458 1,592,729 4,778,188 2,389,094 1,194,547 3,583,642 1,791,821 5,375,464 2,687,732 1,343,866 671,933 2,015,800 1,007,900 503,950 251,975 755,926 377,963 1,133,890 566,945 1,700,836 850,418 425,209 1,275,628 637,814 318,907 956,722 478,361 1,435,084 717,542 358,771 1,076,314 538,157 1,614,472 807,236 403,618 201,809 605,428 302,714 151,357 454,072 227,036 113,518 56,759 170,278

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