2,546,225

5² × 11 × 47 × 197

Starting at 2,546,225, the Collatz iteration reaches 1 after 386 steps. The first transition is 7638676; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 47 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,535,488

Proper Divisor Sum 989,263

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2546213 ← → #2546227

Radix Representation

Decimal	2546225
Binary	1001101101101000110001 (22 bits)
Octal	0o11555061
Hexadecimal	0x26DA31

Divisor Catalog (24)

1 5 11 25 47 55 197 235 275 517 985 1,175 2,167 2,585 4,925 9,259 10,835 12,925 46,295 54,175 101,849 231,475 509,245 2,546,225

Collatz Trajectory (386 steps to reach 1)

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

2,546,225 7,638,676 3,819,338 1,909,669 5,729,008 2,864,504 1,432,252 716,126 358,063 1,074,190 537,095 1,611,286 805,643 2,416,930 1,208,465 3,625,396 1,812,698 906,349 2,719,048 1,359,524 679,762 339,881 1,019,644 509,822 254,911 764,734 382,367 1,147,102 573,551 1,720,654 860,327 2,580,982 1,290,491 3,871,474 1,935,737 5,807,212 2,903,606 1,451,803 4,355,410 2,177,705 6,533,116 3,266,558 1,633,279 4,899,838 2,449,919 7,349,758 3,674,879 11,024,638 5,512,319 16,536,958 8,268,479 24,805,438 12,402,719 37,208,158 18,604,079 55,812,238 27,906,119 83,718,358 41,859,179 125,577,538

← Previous Integer #2,546,224 Browse Full Index Next Integer #2,546,226 →