λ
Sequence Observatory

748,537

41 × 18257
Deficient Odd Composite

Starting at 748,537, the Collatz iteration reaches 1 after 118 steps. The first transition is 2245612; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 18257
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 766,836
Proper Divisor Sum 18,299
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #748523 ← → #748541

Radix Representation

Decimal 748537
Binary 10110110101111111001 (20 bits)
Octal 0o2665771
Hexadecimal 0xB6BF9

Divisor Catalog (4)

1 41 18,257 748,537

Collatz Trajectory (118 steps to reach 1)

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

748,537 2,245,612 1,122,806 561,403 1,684,210 842,105 2,526,316 1,263,158 631,579 1,894,738 947,369 2,842,108 1,421,054 710,527 2,131,582 1,065,791 3,197,374 1,598,687 4,796,062 2,398,031 7,194,094 3,597,047 10,791,142 5,395,571 16,186,714 8,093,357 24,280,072 12,140,036 6,070,018 3,035,009 9,105,028 4,552,514 2,276,257 6,828,772 3,414,386 1,707,193 5,121,580 2,560,790 1,280,395 3,841,186 1,920,593 5,761,780 2,880,890 1,440,445 4,321,336 2,160,668 1,080,334 540,167 1,620,502 810,251 2,430,754 1,215,377 3,646,132 1,823,066 911,533 2,734,600 1,367,300 683,650 341,825 1,025,476

More profiles

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