9,733,929

3 × 167 × 19429

9,733,929 factors as 3 × 167 × 19429. Its 8 positive divisors give a proper-divisor sum of 3,323,031, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3 × 167 × 19429

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,056,960

Proper Divisor Sum 3,323,031

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9733921 ← → #9733939

Radix Representation

Decimal	9733929
Binary	100101001000011100101001 (24 bits)
Octal	0o45103451
Hexadecimal	0x948729

Divisor Catalog (8)

1 3 167 501 19,429 58,287 3,244,643 9,733,929

Collatz Trajectory (176 steps to reach 1)

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

9,733,929 29,201,788 14,600,894 7,300,447 21,901,342 10,950,671 32,852,014 16,426,007 49,278,022 24,639,011 73,917,034 36,958,517 110,875,552 55,437,776 27,718,888 13,859,444 6,929,722 3,464,861 10,394,584 5,197,292 2,598,646 1,299,323 3,897,970 1,948,985 5,846,956 2,923,478 1,461,739 4,385,218 2,192,609 6,577,828 3,288,914 1,644,457 4,933,372 2,466,686 1,233,343 3,700,030 1,850,015 5,550,046 2,775,023 8,325,070 4,162,535 12,487,606 6,243,803 18,731,410 9,365,705 28,097,116 14,048,558 7,024,279 21,072,838 10,536,419 31,609,258 15,804,629 47,413,888 23,706,944 11,853,472 5,926,736 2,963,368 1,481,684 740,842 370,421

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