9,734,835

3 × 5 × 11 × 41 × 1439

Starting at 9,734,835, the Collatz iteration reaches 1 after 176 steps. The first transition is 29204506; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 41 × 1439

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,418,240

Proper Divisor Sum 7,683,405

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9734827 ← → #9734843

Radix Representation

Decimal	9734835
Binary	100101001000101010110011 (24 bits)
Octal	0o45105263
Hexadecimal	0x948AB3

Divisor Catalog (32)

1 3 5 11 15 33 41 55 123 165 205 451 615 1,353 1,439 2,255 4,317 6,765 7,195 15,829 21,585 47,487 58,999 79,145 176,997 237,435 294,995 648,989 884,985 1,946,967 3,244,945 9,734,835

Collatz Trajectory (176 steps to reach 1)

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

9,734,835 29,204,506 14,602,253 43,806,760 21,903,380 10,951,690 5,475,845 16,427,536 8,213,768 4,106,884 2,053,442 1,026,721 3,080,164 1,540,082 770,041 2,310,124 1,155,062 577,531 1,732,594 866,297 2,598,892 1,299,446 649,723 1,949,170 974,585 2,923,756 1,461,878 730,939 2,192,818 1,096,409 3,289,228 1,644,614 822,307 2,466,922 1,233,461 3,700,384 1,850,192 925,096 462,548 231,274 115,637 346,912 173,456 86,728 43,364 21,682 10,841 32,524 16,262 8,131 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294

← Previous Integer #9,734,834 Browse Full Index Next Integer #9,734,836 →