λ
Harmonic Matrix

2,423,072

25 × 75721
Deficient Even Composite

2,423,072 has digital root 2. The neighboring primes are 2423041 and 2423087; its proper-divisor sum differs from the starting integer by -75,658.

Prime Factor Structure

Factorization String 2^5 × 75721
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,770,486
Proper Divisor Sum 2,347,414
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2423041 ← → #2423087

Radix Representation

Decimal 2423072
Binary 1001001111100100100000 (22 bits)
Octal 0o11174440
Hexadecimal 0x24F920

Divisor Catalog (12)

1 2 4 8 16 32 75,721 151,442 302,884 605,768 1,211,536 2,423,072

Collatz Trajectory (205 steps to reach 1)

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

2,423,072 1,211,536 605,768 302,884 151,442 75,721 227,164 113,582 56,791 170,374 85,187 255,562 127,781 383,344 191,672 95,836 47,918 23,959 71,878 35,939 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266

More profiles

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