λ
Harmonic Matrix

2,439,880

23 × 5 × 181 × 337
Abundant Even Composite

2,439,880 has digital root 7. The neighboring primes are 2439839 and 2439881; its proper-divisor sum differs from the starting integer by 656,680.

Prime Factor Structure

Factorization String 2^3 × 5 × 181 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,536,440
Proper Divisor Sum 3,096,560
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2439839 ← → #2439881

Radix Representation

Decimal 2439880
Binary 1001010011101011001000 (22 bits)
Octal 0o11235310
Hexadecimal 0x253AC8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 181 337 362 674 724 905 1,348 1,448 1,685 1,810 2,696 3,370 3,620 6,740 7,240 13,480 60,997 121,994 243,988 304,985 487,976 609,970 1,219,940 2,439,880

Collatz Trajectory (112 steps to reach 1)

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

2,439,880 1,219,940 609,970 304,985 914,956 457,478 228,739 686,218 343,109 1,029,328 514,664 257,332 128,666 64,333 193,000 96,500 48,250 24,125 72,376 36,188 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582

More profiles

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