λ
Harmonic Matrix

2,377,494

2 × 32 × 7 × 18869
Abundant Even Composite

2,377,494 has digital root 9. The neighboring primes are 2377493 and 2377499; its proper-divisor sum differs from the starting integer by 1,132,452.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 18869
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,887,440
Proper Divisor Sum 3,509,946
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2377493 ← → #2377499

Radix Representation

Decimal 2377494
Binary 1001000100011100010110 (22 bits)
Octal 0o11043426
Hexadecimal 0x244716

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 18,869 37,738 56,607 113,214 132,083 169,821 264,166 339,642 396,249 792,498 1,188,747 2,377,494

Collatz Trajectory (174 steps to reach 1)

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

2,377,494 1,188,747 3,566,242 1,783,121 5,349,364 2,674,682 1,337,341 4,012,024 2,006,012 1,003,006 501,503 1,504,510 752,255 2,256,766 1,128,383 3,385,150 1,692,575 5,077,726 2,538,863 7,616,590 3,808,295 11,424,886 5,712,443 17,137,330 8,568,665 25,705,996 12,852,998 6,426,499 19,279,498 9,639,749 28,919,248 14,459,624 7,229,812 3,614,906 1,807,453 5,422,360 2,711,180 1,355,590 677,795 2,033,386 1,016,693 3,050,080 1,525,040 762,520 381,260 190,630 95,315 285,946 142,973 428,920 214,460 107,230 53,615 160,846 80,423 241,270 120,635 361,906 180,953 542,860

More profiles

← Previous Integer #2,377,493 Browse Full Index Next Integer #2,377,495 →