λ
Math Directory

1,358,307

32 × 37 × 4079
Deficient Odd Composite

1,358,307 factors as 3^2 × 37 × 4079. Its 12 positive divisors give a proper-divisor sum of 657,213, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 4079
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,015,520
Proper Divisor Sum 657,213
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1358303 ← → #1358309

Radix Representation

Decimal 1358307
Binary 101001011100111100011 (21 bits)
Octal 0o5134743
Hexadecimal 0x14B9E3

Divisor Catalog (12)

1 3 9 37 111 333 4,079 12,237 36,711 150,923 452,769 1,358,307

Collatz Trajectory (155 steps to reach 1)

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

1,358,307 4,074,922 2,037,461 6,112,384 3,056,192 1,528,096 764,048 382,024 191,012 95,506 47,753 143,260 71,630 35,815 107,446 53,723 161,170 80,585 241,756 120,878 60,439 181,318 90,659 271,978 135,989 407,968 203,984 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242

More profiles

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