λ
Sequence Observatory

1,748,264

23 × 7 × 31219
Abundant Even Composite

Starting at 1,748,264, the Collatz iteration reaches 1 after 189 steps. The first transition is 874132; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 31219
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,746,400
Proper Divisor Sum 1,998,136
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1748261 ← → #1748267

Radix Representation

Decimal 1748264
Binary 110101010110100101000 (21 bits)
Octal 0o6526450
Hexadecimal 0x1AAD28

Divisor Catalog (16)

1 2 4 7 8 14 28 56 31,219 62,438 124,876 218,533 249,752 437,066 874,132 1,748,264

Collatz Trajectory (189 steps to reach 1)

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

1,748,264 874,132 437,066 218,533 655,600 327,800 163,900 81,950 40,975 122,926 61,463 184,390 92,195 276,586 138,293 414,880 207,440 103,720 51,860 25,930 12,965 38,896 19,448 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853

More profiles

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