λ
Sequence Observatory

1,742,151

3 × 580717
Deficient Odd Composite

Starting at 1,742,151, the Collatz iteration reaches 1 after 158 steps. The first transition is 5226454; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 580717
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,322,872
Proper Divisor Sum 580,721
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1742101 ← → #1742161

Radix Representation

Decimal 1742151
Binary 110101001010101000111 (21 bits)
Octal 0o6512507
Hexadecimal 0x1A9547

Divisor Catalog (4)

1 3 580,717 1,742,151

Collatz Trajectory (158 steps to reach 1)

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

1,742,151 5,226,454 2,613,227 7,839,682 3,919,841 11,759,524 5,879,762 2,939,881 8,819,644 4,409,822 2,204,911 6,614,734 3,307,367 9,922,102 4,961,051 14,883,154 7,441,577 22,324,732 11,162,366 5,581,183 16,743,550 8,371,775 25,115,326 12,557,663 37,672,990 18,836,495 56,509,486 28,254,743 84,764,230 42,382,115 127,146,346 63,573,173 190,719,520 95,359,760 47,679,880 23,839,940 11,919,970 5,959,985 17,879,956 8,939,978 4,469,989 13,409,968 6,704,984 3,352,492 1,676,246 838,123 2,514,370 1,257,185 3,771,556 1,885,778 942,889 2,828,668 1,414,334 707,167 2,121,502 1,060,751 3,182,254 1,591,127 4,773,382 2,386,691

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