λ
Sequence Observatory

1,730,457

33 × 64091
Deficient Odd Composite

Starting at 1,730,457, the Collatz iteration reaches 1 after 70 steps. The first transition is 5191372; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 64091
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,563,680
Proper Divisor Sum 833,223
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1730441 ← → #1730461

Radix Representation

Decimal 1730457
Binary 110100110011110011001 (21 bits)
Octal 0o6463631
Hexadecimal 0x1A6799

Divisor Catalog (8)

1 3 9 27 64,091 192,273 576,819 1,730,457

Collatz Trajectory (70 steps to reach 1)

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

1,730,457 5,191,372 2,595,686 1,297,843 3,893,530 1,946,765 5,840,296 2,920,148 1,460,074 730,037 2,190,112 1,095,056 547,528 273,764 136,882 68,441 205,324 102,662 51,331 153,994 76,997 230,992 115,496 57,748 28,874 14,437 43,312 21,656 10,828 5,414 2,707 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52

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