λ
Prime Ledger

1,164,289

72 × 23761
Deficient Odd Composite

1,164,289 has the prime decomposition 7^2 × 23761. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 23761
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,354,434
Proper Divisor Sum 190,145
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1164287 ← → #1164323

Radix Representation

Decimal 1164289
Binary 100011100010000000001 (21 bits)
Octal 0o4342001
Hexadecimal 0x11C401

Divisor Catalog (6)

1 7 49 23,761 166,327 1,164,289

Collatz Trajectory (72 steps to reach 1)

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

1,164,289 3,492,868 1,746,434 873,217 2,619,652 1,309,826 654,913 1,964,740 982,370 491,185 1,473,556 736,778 368,389 1,105,168 552,584 276,292 138,146 69,073 207,220 103,610 51,805 155,416 77,708 38,854 19,427 58,282 29,141 87,424 43,712 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

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