λ
Harmonic Matrix

2,617,375

53 × 20939
Deficient Odd Composite

2,617,375 has digital root 4. The neighboring primes are 2617319 and 2617379; its proper-divisor sum differs from the starting integer by -1,968,110.

Prime Factor Structure

Factorization String 5^3 × 20939
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,266,640
Proper Divisor Sum 649,265
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2617319 ← → #2617379

Radix Representation

Decimal 2617375
Binary 1001111111000000011111 (22 bits)
Octal 0o11770037
Hexadecimal 0x27F01F

Divisor Catalog (8)

1 5 25 125 20,939 104,695 523,475 2,617,375

Collatz Trajectory (156 steps to reach 1)

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

2,617,375 7,852,126 3,926,063 11,778,190 5,889,095 17,667,286 8,833,643 26,500,930 13,250,465 39,751,396 19,875,698 9,937,849 29,813,548 14,906,774 7,453,387 22,360,162 11,180,081 33,540,244 16,770,122 8,385,061 25,155,184 12,577,592 6,288,796 3,144,398 1,572,199 4,716,598 2,358,299 7,074,898 3,537,449 10,612,348 5,306,174 2,653,087 7,959,262 3,979,631 11,938,894 5,969,447 17,908,342 8,954,171 26,862,514 13,431,257 40,293,772 20,146,886 10,073,443 30,220,330 15,110,165 45,330,496 22,665,248 11,332,624 5,666,312 2,833,156 1,416,578 708,289 2,124,868 1,062,434 531,217 1,593,652 796,826 398,413 1,195,240 597,620

More profiles

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