7,735,212

2² × 3² × 214867

Starting at 7,735,212, the Collatz iteration reaches 1 after 217 steps. The first transition is 3867606; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 214867

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 19,552,988

Proper Divisor Sum 11,817,776

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7735193 ← → #7735219

Radix Representation

Decimal	7735212
Binary	11101100000011110101100 (23 bits)
Octal	0o35403654
Hexadecimal	0x7607AC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 214,867 429,734 644,601 859,468 1,289,202 1,933,803 2,578,404 3,867,606 7,735,212

Collatz Trajectory (217 steps to reach 1)

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

7,735,212 3,867,606 1,933,803 5,801,410 2,900,705 8,702,116 4,351,058 2,175,529 6,526,588 3,263,294 1,631,647 4,894,942 2,447,471 7,342,414 3,671,207 11,013,622 5,506,811 16,520,434 8,260,217 24,780,652 12,390,326 6,195,163 18,585,490 9,292,745 27,878,236 13,939,118 6,969,559 20,908,678 10,454,339 31,363,018 15,681,509 47,044,528 23,522,264 11,761,132 5,880,566 2,940,283 8,820,850 4,410,425 13,231,276 6,615,638 3,307,819 9,923,458 4,961,729 14,885,188 7,442,594 3,721,297 11,163,892 5,581,946 2,790,973 8,372,920 4,186,460 2,093,230 1,046,615 3,139,846 1,569,923 4,709,770 2,354,885 7,064,656 3,532,328 1,766,164

← Previous Integer #7,735,211 Browse Full Index Next Integer #7,735,213 →