λ
Harmonic Matrix

6,178,328

23 × 13 × 59407
Abundant Even Composite

6,178,328 has digital root 8. The neighboring primes are 6178321 and 6178339; its proper-divisor sum differs from the starting integer by 119,024.

Prime Factor Structure

Factorization String 2^3 × 13 × 59407
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,475,680
Proper Divisor Sum 6,297,352
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6178321 ← → #6178339

Radix Representation

Decimal 6178328
Binary 10111100100011000011000 (23 bits)
Octal 0o27443030
Hexadecimal 0x5E4618

Divisor Catalog (16)

1 2 4 8 13 26 52 104 59,407 118,814 237,628 475,256 772,291 1,544,582 3,089,164 6,178,328

Collatz Trajectory (165 steps to reach 1)

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

6,178,328 3,089,164 1,544,582 772,291 2,316,874 1,158,437 3,475,312 1,737,656 868,828 434,414 217,207 651,622 325,811 977,434 488,717 1,466,152 733,076 366,538 183,269 549,808 274,904 137,452 68,726 34,363 103,090 51,545 154,636 77,318 38,659 115,978 57,989 173,968 86,984 43,492 21,746 10,873 32,620 16,310 8,155 24,466 12,233 36,700 18,350 9,175 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202

More profiles

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