λ
Prime Ledger

1,409,577

3 × 13 × 47 × 769
Deficient Odd Composite

1,409,577 has the prime decomposition 3 × 13 × 47 × 769. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 47 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,069,760
Proper Divisor Sum 660,183
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1409549 ← → #1409579

Radix Representation

Decimal 1409577
Binary 101011000001000101001 (21 bits)
Octal 0o5301051
Hexadecimal 0x158229

Divisor Catalog (16)

1 3 13 39 47 141 611 769 1,833 2,307 9,997 29,991 36,143 108,429 469,859 1,409,577

Collatz Trajectory (181 steps to reach 1)

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

1,409,577 4,228,732 2,114,366 1,057,183 3,171,550 1,585,775 4,757,326 2,378,663 7,135,990 3,567,995 10,703,986 5,351,993 16,055,980 8,027,990 4,013,995 12,041,986 6,020,993 18,062,980 9,031,490 4,515,745 13,547,236 6,773,618 3,386,809 10,160,428 5,080,214 2,540,107 7,620,322 3,810,161 11,430,484 5,715,242 2,857,621 8,572,864 4,286,432 2,143,216 1,071,608 535,804 267,902 133,951 401,854 200,927 602,782 301,391 904,174 452,087 1,356,262 678,131 2,034,394 1,017,197 3,051,592 1,525,796 762,898 381,449 1,144,348 572,174 286,087 858,262 429,131 1,287,394 643,697 1,931,092

More profiles

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