λ
Prime Ledger

9,987,729

3 × 467 × 7129
Deficient Odd Composite

9,987,729 has the prime decomposition 3 × 467 × 7129. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 467 × 7129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,347,360
Proper Divisor Sum 3,359,631
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #9987709 ← → #9987737

Radix Representation

Decimal 9987729
Binary 100110000110011010010001 (24 bits)
Octal 0o46063221
Hexadecimal 0x986691

Divisor Catalog (8)

1 3 467 1,401 7,129 21,387 3,329,243 9,987,729

Collatz Trajectory (282 steps to reach 1)

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

9,987,729 29,963,188 14,981,594 7,490,797 22,472,392 11,236,196 5,618,098 2,809,049 8,427,148 4,213,574 2,106,787 6,320,362 3,160,181 9,480,544 4,740,272 2,370,136 1,185,068 592,534 296,267 888,802 444,401 1,333,204 666,602 333,301 999,904 499,952 249,976 124,988 62,494 31,247 93,742 46,871 140,614 70,307 210,922 105,461 316,384 158,192 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355

More profiles

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