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Atlas › Integer Profiles › Node 9,733,646

9,733,646

2 × 13 × 23 × 41 × 397
Deficient Even Composite

9,733,646 factors as 2 × 13 × 23 × 41 × 397. Its 32 positive divisors give a proper-divisor sum of 7,116,082, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 41 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,849,728
Proper Divisor Sum 7,116,082
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9733631 ← → #9733651

Radix Representation

Decimal 9733646
Binary 100101001000011000001110 (24 bits)
Octal 0o45103016
Hexadecimal 0x94860E

Divisor Catalog (32)

1 2 13 23 26 41 46 82 299 397 533 598 794 943 1,066 1,886 5,161 9,131 10,322 12,259 16,277 18,262 24,518 32,554 118,703 211,601 237,406 374,371 423,202 748,742 4,866,823 9,733,646

Collatz Trajectory (145 steps to reach 1)

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

9,733,646 4,866,823 14,600,470 7,300,235 21,900,706 10,950,353 32,851,060 16,425,530 8,212,765 24,638,296 12,319,148 6,159,574 3,079,787 9,239,362 4,619,681 13,859,044 6,929,522 3,464,761 10,394,284 5,197,142 2,598,571 7,795,714 3,897,857 11,693,572 5,846,786 2,923,393 8,770,180 4,385,090 2,192,545 6,577,636 3,288,818 1,644,409 4,933,228 2,466,614 1,233,307 3,699,922 1,849,961 5,549,884 2,774,942 1,387,471 4,162,414 2,081,207 6,243,622 3,121,811 9,365,434 4,682,717 14,048,152 7,024,076 3,512,038 1,756,019 5,268,058 2,634,029 7,902,088 3,951,044 1,975,522 987,761 2,963,284 1,481,642 740,821 2,222,464

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