λ
Prime Ledger

1,091,385

32 × 5 × 79 × 307
Deficient Odd Composite

1,091,385 has the prime decomposition 3^2 × 5 × 79 × 307. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 79 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,921,920
Proper Divisor Sum 830,535
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1091381 ← → #1091393

Radix Representation

Decimal 1091385
Binary 100001010011100111001 (21 bits)
Octal 0o4123471
Hexadecimal 0x10A739

Divisor Catalog (24)

1 3 5 9 15 45 79 237 307 395 711 921 1,185 1,535 2,763 3,555 4,605 13,815 24,253 72,759 121,265 218,277 363,795 1,091,385

Collatz Trajectory (72 steps to reach 1)

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

1,091,385 3,274,156 1,637,078 818,539 2,455,618 1,227,809 3,683,428 1,841,714 920,857 2,762,572 1,381,286 690,643 2,071,930 1,035,965 3,107,896 1,553,948 776,974 388,487 1,165,462 582,731 1,748,194 874,097 2,622,292 1,311,146 655,573 1,966,720 983,360 491,680 245,840 122,920 61,460 30,730 15,365 46,096 23,048 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34

More profiles

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