λ
Harmonic Matrix

2,374,782

2 × 3 × 157 × 2521
Abundant Even Composite

2,374,782 has digital root 6. The neighboring primes are 2374751 and 2374811; its proper-divisor sum differs from the starting integer by 32,148.

Prime Factor Structure

Factorization String 2 × 3 × 157 × 2521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,781,712
Proper Divisor Sum 2,406,930
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2374751 ← → #2374811

Radix Representation

Decimal 2374782
Binary 1001000011110001111110 (22 bits)
Octal 0o11036176
Hexadecimal 0x243C7E

Divisor Catalog (16)

1 2 3 6 157 314 471 942 2,521 5,042 7,563 15,126 395,797 791,594 1,187,391 2,374,782

Collatz Trajectory (99 steps to reach 1)

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

2,374,782 1,187,391 3,562,174 1,781,087 5,343,262 2,671,631 8,014,894 4,007,447 12,022,342 6,011,171 18,033,514 9,016,757 27,050,272 13,525,136 6,762,568 3,381,284 1,690,642 845,321 2,535,964 1,267,982 633,991 1,901,974 950,987 2,852,962 1,426,481 4,279,444 2,139,722 1,069,861 3,209,584 1,604,792 802,396 401,198 200,599 601,798 300,899 902,698 451,349 1,354,048 677,024 338,512 169,256 84,628 42,314 21,157 63,472 31,736 15,868 7,934 3,967 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394

More profiles

← Previous Integer #2,374,781 Browse Full Index Next Integer #2,374,783 →