λ
Prime Ledger

1,329,633

32 × 157 × 941
Deficient Odd Composite

1,329,633 has the prime decomposition 3^2 × 157 × 941. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 157 × 941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,934,868
Proper Divisor Sum 605,235
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1329631 ← → #1329637

Radix Representation

Decimal 1329633
Binary 101000100100111100001 (21 bits)
Octal 0o5044741
Hexadecimal 0x1449E1

Divisor Catalog (12)

1 3 9 157 471 941 1,413 2,823 8,469 147,737 443,211 1,329,633

Collatz Trajectory (116 steps to reach 1)

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

1,329,633 3,988,900 1,994,450 997,225 2,991,676 1,495,838 747,919 2,243,758 1,121,879 3,365,638 1,682,819 5,048,458 2,524,229 7,572,688 3,786,344 1,893,172 946,586 473,293 1,419,880 709,940 354,970 177,485 532,456 266,228 133,114 66,557 199,672 99,836 49,918 24,959 74,878 37,439 112,318 56,159 168,478 84,239 252,718 126,359 379,078 189,539 568,618 284,309 852,928 426,464 213,232 106,616 53,308 26,654 13,327 39,982 19,991 59,974 29,987 89,962 44,981 134,944 67,472 33,736 16,868 8,434

More profiles

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