λ
Prime Ledger

1,541,449

7 × 132 × 1303
Deficient Odd Composite

1,541,449 has the prime decomposition 7 × 13^2 × 1303. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 7 × 13^2 × 1303
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,909,056
Proper Divisor Sum 367,607
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1541431 ← → #1541453

Radix Representation

Decimal 1541449
Binary 101111000010101001001 (21 bits)
Octal 0o5702511
Hexadecimal 0x178549

Divisor Catalog (12)

1 7 13 91 169 1,183 1,303 9,121 16,939 118,573 220,207 1,541,449

Collatz Trajectory (238 steps to reach 1)

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

1,541,449 4,624,348 2,312,174 1,156,087 3,468,262 1,734,131 5,202,394 2,601,197 7,803,592 3,901,796 1,950,898 975,449 2,926,348 1,463,174 731,587 2,194,762 1,097,381 3,292,144 1,646,072 823,036 411,518 205,759 617,278 308,639 925,918 462,959 1,388,878 694,439 2,083,318 1,041,659 3,124,978 1,562,489 4,687,468 2,343,734 1,171,867 3,515,602 1,757,801 5,273,404 2,636,702 1,318,351 3,955,054 1,977,527 5,932,582 2,966,291 8,898,874 4,449,437 13,348,312 6,674,156 3,337,078 1,668,539 5,005,618 2,502,809 7,508,428 3,754,214 1,877,107 5,631,322 2,815,661 8,446,984 4,223,492 2,111,746

More profiles

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