λ
Prime Ledger

2,406,401

17 × 353 × 401
Deficient Odd Composite

2,406,401 has the prime decomposition 17 × 353 × 401. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 353 × 401
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,561,544
Proper Divisor Sum 155,143
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2406379 ← → #2406457

Radix Representation

Decimal 2406401
Binary 1001001011100000000001 (22 bits)
Octal 0o11134001
Hexadecimal 0x24B801

Divisor Catalog (8)

1 17 353 401 6,001 6,817 141,553 2,406,401

Collatz Trajectory (117 steps to reach 1)

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

2,406,401 7,219,204 3,609,602 1,804,801 5,414,404 2,707,202 1,353,601 4,060,804 2,030,402 1,015,201 3,045,604 1,522,802 761,401 2,284,204 1,142,102 571,051 1,713,154 856,577 2,569,732 1,284,866 642,433 1,927,300 963,650 481,825 1,445,476 722,738 361,369 1,084,108 542,054 271,027 813,082 406,541 1,219,624 609,812 304,906 152,453 457,360 228,680 114,340 57,170 28,585 85,756 42,878 21,439 64,318 32,159 96,478 48,239 144,718 72,359 217,078 108,539 325,618 162,809 488,428 244,214 122,107 366,322 183,161 549,484

More profiles

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