λ
Harmonic Matrix

2,408,796

22 × 32 × 13 × 5147
Abundant Even Composite

2,408,796 has digital root 9. The neighboring primes are 2408773 and 2408837; its proper-divisor sum differs from the starting integer by 1,740,960.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 5147
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,558,552
Proper Divisor Sum 4,149,756
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2408773 ← → #2408837

Radix Representation

Decimal 2408796
Binary 1001001100000101011100 (22 bits)
Octal 0o11140534
Hexadecimal 0x24C15C

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5,147 10,294 15,441 20,588 30,882 46,323 61,764 66,911 92,646 133,822 185,292 200,733 267,644 401,466 602,199 802,932 1,204,398 2,408,796

Collatz Trajectory (117 steps to reach 1)

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

2,408,796 1,204,398 602,199 1,806,598 903,299 2,709,898 1,354,949 4,064,848 2,032,424 1,016,212 508,106 254,053 762,160 381,080 190,540 95,270 47,635 142,906 71,453 214,360 107,180 53,590 26,795 80,386 40,193 120,580 60,290 30,145 90,436 45,218 22,609 67,828 33,914 16,957 50,872 25,436 12,718 6,359 19,078 9,539 28,618 14,309 42,928 21,464 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548

More profiles

← Previous Integer #2,408,795 Browse Full Index Next Integer #2,408,797 →