4,288,050

2 × 3² × 5² × 13 × 733

Starting at 4,288,050, the Collatz iteration reaches 1 after 136 steps. The first transition is 2144025; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 13 × 733

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 12,423,684

Proper Divisor Sum 8,135,634

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4288049 ← → #4288073

Radix Representation

Decimal	4288050
Binary	10000010110111000110010 (23 bits)
Octal	0o20267062
Hexadecimal	0x416E32

Divisor Catalog (60 of 72)

1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 733 975 1,170 1,466 1,950 2,199 2,925 3,665 4,398 5,850 6,597 7,330 9,529 10,995 13,194 18,325 19,058 21,990 28,587 32,985 36,650 47,645 54,975 57,174 65,970 85,761 95,290 109,950 142,935

Collatz Trajectory (136 steps to reach 1)

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

4,288,050 2,144,025 6,432,076 3,216,038 1,608,019 4,824,058 2,412,029 7,236,088 3,618,044 1,809,022 904,511 2,713,534 1,356,767 4,070,302 2,035,151 6,105,454 3,052,727 9,158,182 4,579,091 13,737,274 6,868,637 20,605,912 10,302,956 5,151,478 2,575,739 7,727,218 3,863,609 11,590,828 5,795,414 2,897,707 8,693,122 4,346,561 13,039,684 6,519,842 3,259,921 9,779,764 4,889,882 2,444,941 7,334,824 3,667,412 1,833,706 916,853 2,750,560 1,375,280 687,640 343,820 171,910 85,955 257,866 128,933 386,800 193,400 96,700 48,350 24,175 72,526 36,263 108,790 54,395 163,186

← Previous Integer #4,288,049 Browse Full Index Next Integer #4,288,051 →