λ
Sequence Observatory

510,763

11 × 59 × 787
Deficient Odd Composite

Starting at 510,763, the Collatz iteration reaches 1 after 226 steps. The first transition is 1532290; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 59 × 787
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 567,360
Proper Divisor Sum 56,597
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #510751 ← → #510767

Radix Representation

Decimal 510763
Binary 1111100101100101011 (19 bits)
Octal 0o1745453
Hexadecimal 0x7CB2B

Divisor Catalog (8)

1 11 59 649 787 8,657 46,433 510,763

Collatz Trajectory (226 steps to reach 1)

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

510,763 1,532,290 766,145 2,298,436 1,149,218 574,609 1,723,828 861,914 430,957 1,292,872 646,436 323,218 161,609 484,828 242,414 121,207 363,622 181,811 545,434 272,717 818,152 409,076 204,538 102,269 306,808 153,404 76,702 38,351 115,054 57,527 172,582 86,291 258,874 129,437 388,312 194,156 97,078 48,539 145,618 72,809 218,428 109,214 54,607 163,822 81,911 245,734 122,867 368,602 184,301 552,904 276,452 138,226 69,113 207,340 103,670 51,835 155,506 77,753 233,260 116,630

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