λ
Prime Ledger

1,309,729

1109 × 1181
Deficient Odd Composite

1,309,729 has the prime decomposition 1109 × 1181. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 1109 × 1181
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,312,020
Proper Divisor Sum 2,291
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1309723 ← → #1309739

Radix Representation

Decimal 1309729
Binary 100111111110000100001 (21 bits)
Octal 0o4776041
Hexadecimal 0x13FC21

Divisor Catalog (4)

1 1,109 1,181 1,309,729

Collatz Trajectory (80 steps to reach 1)

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

1,309,729 3,929,188 1,964,594 982,297 2,946,892 1,473,446 736,723 2,210,170 1,105,085 3,315,256 1,657,628 828,814 414,407 1,243,222 621,611 1,864,834 932,417 2,797,252 1,398,626 699,313 2,097,940 1,048,970 524,485 1,573,456 786,728 393,364 196,682 98,341 295,024 147,512 73,756 36,878 18,439 55,318 27,659 82,978 41,489 124,468 62,234 31,117 93,352 46,676 23,338 11,669 35,008 17,504 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232

More profiles

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