λ
Math Directory

2,423,913

3 × 331 × 2441
Deficient Odd Composite

2,423,913 factors as 3 × 331 × 2441. Its 8 positive divisors give a proper-divisor sum of 819,063, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 3 × 331 × 2441
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,242,976
Proper Divisor Sum 819,063
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2423909 ← → #2423917

Radix Representation

Decimal 2423913
Binary 1001001111110001101001 (22 bits)
Octal 0o11176151
Hexadecimal 0x24FC69

Divisor Catalog (8)

1 3 331 993 2,441 7,323 807,971 2,423,913

Collatz Trajectory (192 steps to reach 1)

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

2,423,913 7,271,740 3,635,870 1,817,935 5,453,806 2,726,903 8,180,710 4,090,355 12,271,066 6,135,533 18,406,600 9,203,300 4,601,650 2,300,825 6,902,476 3,451,238 1,725,619 5,176,858 2,588,429 7,765,288 3,882,644 1,941,322 970,661 2,911,984 1,455,992 727,996 363,998 181,999 545,998 272,999 818,998 409,499 1,228,498 614,249 1,842,748 921,374 460,687 1,382,062 691,031 2,073,094 1,036,547 3,109,642 1,554,821 4,664,464 2,332,232 1,166,116 583,058 291,529 874,588 437,294 218,647 655,942 327,971 983,914 491,957 1,475,872 737,936 368,968 184,484 92,242

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