2,622,375

3⁴ × 5³ × 7 × 37

Starting at 2,622,375, the Collatz iteration reaches 1 after 112 steps. The first transition is 7867126; the starting value is odd with 80 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5^3 × 7 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 5,738,304

Proper Divisor Sum 3,115,929

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2622353 ← → #2622377

Radix Representation

Decimal	2622375
Binary	1010000000001110100111 (22 bits)
Octal	0o12001647
Hexadecimal	0x2803A7

Divisor Catalog (60 of 80)

1 3 5 7 9 15 21 25 27 35 37 45 63 75 81 105 111 125 135 175 185 189 225 259 315 333 375 405 525 555 567 675 777 875 925 945 999 1,125 1,295 1,575 1,665 2,025 2,331 2,625 2,775 2,835 2,997 3,375 3,885 4,625 4,725 4,995 6,475 6,993 7,875 8,325 10,125 11,655 13,875 14,175

Collatz Trajectory (112 steps to reach 1)

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

2,622,375 7,867,126 3,933,563 11,800,690 5,900,345 17,701,036 8,850,518 4,425,259 13,275,778 6,637,889 19,913,668 9,956,834 4,978,417 14,935,252 7,467,626 3,733,813 11,201,440 5,600,720 2,800,360 1,400,180 700,090 350,045 1,050,136 525,068 262,534 131,267 393,802 196,901 590,704 295,352 147,676 73,838 36,919 110,758 55,379 166,138 83,069 249,208 124,604 62,302 31,151 93,454 46,727 140,182 70,091 210,274 105,137 315,412 157,706 78,853 236,560 118,280 59,140 29,570 14,785 44,356 22,178 11,089 33,268 16,634

← Previous Integer #2,622,374 Browse Full Index Next Integer #2,622,376 →