507,779

507779

Starting at 507,779, the Collatz iteration reaches 1 after 81 steps. The first transition is 1523338; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 507779

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 507,780

Proper Divisor Sum 1

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #507757 ← → #507781

Radix Representation

Decimal	507779
Binary	1111011111110000011 (19 bits)
Octal	0o1737603
Hexadecimal	0x7BF83

Divisor Catalog (2)

1 507,779

Collatz Trajectory (81 steps to reach 1)

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

507,779 1,523,338 761,669 2,285,008 1,142,504 571,252 285,626 142,813 428,440 214,220 107,110 53,555 160,666 80,333 241,000 120,500 60,250 30,125 90,376 45,188 22,594 11,297 33,892 16,946 8,473 25,420 12,710 6,355 19,066 9,533 28,600 14,300 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226

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