λ
Sequence Observatory

1,757,412

22 × 32 × 48817
Abundant Even Composite

Starting at 1,757,412, the Collatz iteration reaches 1 after 70 steps. The first transition is 878706; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 48817
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 4,442,438
Proper Divisor Sum 2,685,026
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1757411 ← → #1757417

Radix Representation

Decimal 1757412
Binary 110101101000011100100 (21 bits)
Octal 0o6550344
Hexadecimal 0x1AD0E4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 48,817 97,634 146,451 195,268 292,902 439,353 585,804 878,706 1,757,412

Collatz Trajectory (70 steps to reach 1)

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

1,757,412 878,706 439,353 1,318,060 659,030 329,515 988,546 494,273 1,482,820 741,410 370,705 1,112,116 556,058 278,029 834,088 417,044 208,522 104,261 312,784 156,392 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53

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