λ
Prime Ledger

1,304,337

3 × 197 × 2207
Deficient Odd Composite

1,304,337 has the prime decomposition 3 × 197 × 2207. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 197 × 2207
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,748,736
Proper Divisor Sum 444,399
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1304321 ← → #1304357

Radix Representation

Decimal 1304337
Binary 100111110011100010001 (21 bits)
Octal 0o4763421
Hexadecimal 0x13E711

Divisor Catalog (8)

1 3 197 591 2,207 6,621 434,779 1,304,337

Collatz Trajectory (93 steps to reach 1)

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

1,304,337 3,913,012 1,956,506 978,253 2,934,760 1,467,380 733,690 366,845 1,100,536 550,268 275,134 137,567 412,702 206,351 619,054 309,527 928,582 464,291 1,392,874 696,437 2,089,312 1,044,656 522,328 261,164 130,582 65,291 195,874 97,937 293,812 146,906 73,453 220,360 110,180 55,090 27,545 82,636 41,318 20,659 61,978 30,989 92,968 46,484 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230

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