λ
Sequence Observatory

1,764,763

7 × 11 × 13 × 41 × 43
Deficient Odd Composite

Starting at 1,764,763, the Collatz iteration reaches 1 after 295 steps. The first transition is 5294290; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 13 × 41 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,483,712
Proper Divisor Sum 718,949
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1764757 ← → #1764779

Radix Representation

Decimal 1764763
Binary 110101110110110011011 (21 bits)
Octal 0o6566633
Hexadecimal 0x1AED9B

Divisor Catalog (32)

1 7 11 13 41 43 77 91 143 287 301 451 473 533 559 1,001 1,763 3,157 3,311 3,731 3,913 5,863 6,149 12,341 19,393 22,919 41,041 43,043 135,751 160,433 252,109 1,764,763

Collatz Trajectory (295 steps to reach 1)

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

1,764,763 5,294,290 2,647,145 7,941,436 3,970,718 1,985,359 5,956,078 2,978,039 8,934,118 4,467,059 13,401,178 6,700,589 20,101,768 10,050,884 5,025,442 2,512,721 7,538,164 3,769,082 1,884,541 5,653,624 2,826,812 1,413,406 706,703 2,120,110 1,060,055 3,180,166 1,590,083 4,770,250 2,385,125 7,155,376 3,577,688 1,788,844 894,422 447,211 1,341,634 670,817 2,012,452 1,006,226 503,113 1,509,340 754,670 377,335 1,132,006 566,003 1,698,010 849,005 2,547,016 1,273,508 636,754 318,377 955,132 477,566 238,783 716,350 358,175 1,074,526 537,263 1,611,790 805,895 2,417,686

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