λ
Prime Ledger

9,829,725

3 × 52 × 131063
Deficient Odd Composite

9,829,725 has the prime decomposition 3 × 5^2 × 131063. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 131063
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,251,936
Proper Divisor Sum 6,422,211
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9829711 ← → #9829739

Radix Representation

Decimal 9829725
Binary 100101011111110101011101 (24 bits)
Octal 0o45376535
Hexadecimal 0x95FD5D

Divisor Catalog (12)

1 3 5 15 25 75 131,063 393,189 655,315 1,965,945 3,276,575 9,829,725

Collatz Trajectory (88 steps to reach 1)

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

9,829,725 29,489,176 14,744,588 7,372,294 3,686,147 11,058,442 5,529,221 16,587,664 8,293,832 4,146,916 2,073,458 1,036,729 3,110,188 1,555,094 777,547 2,332,642 1,166,321 3,498,964 1,749,482 874,741 2,624,224 1,312,112 656,056 328,028 164,014 82,007 246,022 123,011 369,034 184,517 553,552 276,776 138,388 69,194 34,597 103,792 51,896 25,948 12,974 6,487 19,462 9,731 29,194 14,597 43,792 21,896 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289

More profiles

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