λ
Prime Ledger

9,673,929

32 × 61 × 67 × 263
Deficient Odd Composite

9,673,929 has the prime decomposition 3^2 × 61 × 67 × 263. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 61 × 67 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,469,312
Proper Divisor Sum 4,795,383
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9673921 ← → #9673949

Radix Representation

Decimal 9673929
Binary 100100111001110011001001 (24 bits)
Octal 0o44716311
Hexadecimal 0x939CC9

Divisor Catalog (24)

1 3 9 61 67 183 201 263 549 603 789 2,367 4,087 12,261 16,043 17,621 36,783 48,129 52,863 144,387 158,589 1,074,881 3,224,643 9,673,929

Collatz Trajectory (114 steps to reach 1)

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

9,673,929 29,021,788 14,510,894 7,255,447 21,766,342 10,883,171 32,649,514 16,324,757 48,974,272 24,487,136 12,243,568 6,121,784 3,060,892 1,530,446 765,223 2,295,670 1,147,835 3,443,506 1,721,753 5,165,260 2,582,630 1,291,315 3,873,946 1,936,973 5,810,920 2,905,460 1,452,730 726,365 2,179,096 1,089,548 544,774 272,387 817,162 408,581 1,225,744 612,872 306,436 153,218 76,609 229,828 114,914 57,457 172,372 86,186 43,093 129,280 64,640 32,320 16,160 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708

More profiles

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