9,706,410

2 × 3² × 5 × 7² × 31 × 71

9,706,410 factors as 2 × 3^2 × 5 × 7^2 × 31 × 71. Its 144 positive divisors give a proper-divisor sum of 21,024,342, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7^2 × 31 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 30,730,752

Proper Divisor Sum 21,024,342

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9706409 ← → #9706423

Radix Representation

Decimal	9706410
Binary	100101000001101110101010 (24 bits)
Octal	0o45015652
Hexadecimal	0x941BAA

Divisor Catalog (60 of 144)

1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 49 62 63 70 71 90 93 98 105 126 142 147 155 186 210 213 217 245 279 294 310 315 355 426 434 441 465 490 497 558 630 639 651 710 735 882 930 994 1,065 1,085 1,278 1,302 1,395

Collatz Trajectory (114 steps to reach 1)

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

9,706,410 4,853,205 14,559,616 7,279,808 3,639,904 1,819,952 909,976 454,988 227,494 113,747 341,242 170,621 511,864 255,932 127,966 63,983 191,950 95,975 287,926 143,963 431,890 215,945 647,836 323,918 161,959 485,878 242,939 728,818 364,409 1,093,228 546,614 273,307 819,922 409,961 1,229,884 614,942 307,471 922,414 461,207 1,383,622 691,811 2,075,434 1,037,717 3,113,152 1,556,576 778,288 389,144 194,572 97,286 48,643 145,930 72,965 218,896 109,448 54,724 27,362 13,681 41,044 20,522 10,261

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