λ
Sequence Observatory

503,569

11 × 45779
Deficient Odd Composite

Starting at 503,569, the Collatz iteration reaches 1 after 89 steps. The first transition is 1510708; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 45779
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 549,360
Proper Divisor Sum 45,791
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #503563 ← → #503593

Radix Representation

Decimal 503569
Binary 1111010111100010001 (19 bits)
Octal 0o1727421
Hexadecimal 0x7AF11

Divisor Catalog (4)

1 11 45,779 503,569

Collatz Trajectory (89 steps to reach 1)

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

503,569 1,510,708 755,354 377,677 1,133,032 566,516 283,258 141,629 424,888 212,444 106,222 53,111 159,334 79,667 239,002 119,501 358,504 179,252 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538

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