9,733,737

3 × 13 × 249583

9,733,737 factors as 3 × 13 × 249583. Its 8 positive divisors give a proper-divisor sum of 4,242,967, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 3 × 13 × 249583

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,976,704

Proper Divisor Sum 4,242,967

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9733733 ← → #9733739

Radix Representation

Decimal	9733737
Binary	100101001000011001101001 (24 bits)
Octal	0o45103151
Hexadecimal	0x948669

Divisor Catalog (8)

1 3 13 39 249,583 748,749 3,244,579 9,733,737

Collatz Trajectory (269 steps to reach 1)

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

9,733,737 29,201,212 14,600,606 7,300,303 21,900,910 10,950,455 32,851,366 16,425,683 49,277,050 24,638,525 73,915,576 36,957,788 18,478,894 9,239,447 27,718,342 13,859,171 41,577,514 20,788,757 62,366,272 31,183,136 15,591,568 7,795,784 3,897,892 1,948,946 974,473 2,923,420 1,461,710 730,855 2,192,566 1,096,283 3,288,850 1,644,425 4,933,276 2,466,638 1,233,319 3,699,958 1,849,979 5,549,938 2,774,969 8,324,908 4,162,454 2,081,227 6,243,682 3,121,841 9,365,524 4,682,762 2,341,381 7,024,144 3,512,072 1,756,036 878,018 439,009 1,317,028 658,514 329,257 987,772 493,886 246,943 740,830 370,415

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