6,228,400

2⁴ × 5² × 23 × 677

Starting at 6,228,400, the Collatz iteration reaches 1 after 227 steps. The first transition is 3114200; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 23 × 677

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 15,637,392

Proper Divisor Sum 9,408,992

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6228389 ← → #6228413

Radix Representation

Decimal	6228400
Binary	10111110000100110110000 (23 bits)
Octal	0o27604660
Hexadecimal	0x5F09B0

Divisor Catalog (60)

1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 677 920 1,150 1,354 1,840 2,300 2,708 3,385 4,600 5,416 6,770 9,200 10,832 13,540 15,571 16,925 27,080 31,142 33,850 54,160 62,284 67,700 77,855 124,568 135,400 155,710 249,136 270,800 311,420 389,275 622,840 778,550 1,245,680 1,557,100 3,114,200 6,228,400

Collatz Trajectory (227 steps to reach 1)

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

6,228,400 3,114,200 1,557,100 778,550 389,275 1,167,826 583,913 1,751,740 875,870 437,935 1,313,806 656,903 1,970,710 985,355 2,956,066 1,478,033 4,434,100 2,217,050 1,108,525 3,325,576 1,662,788 831,394 415,697 1,247,092 623,546 311,773 935,320 467,660 233,830 116,915 350,746 175,373 526,120 263,060 131,530 65,765 197,296 98,648 49,324 24,662 12,331 36,994 18,497 55,492 27,746 13,873 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587

← Previous Integer #6,228,399 Browse Full Index Next Integer #6,228,401 →