λ
Harmonic Matrix

2,626,095

3 × 5 × 29 × 6037
Deficient Odd Composite

2,626,095 has digital root 3. The neighboring primes are 2626087 and 2626121; its proper-divisor sum differs from the starting integer by -904,830.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 6037
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,347,360
Proper Divisor Sum 1,721,265
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2626087 ← → #2626121

Radix Representation

Decimal 2626095
Binary 1010000001001000101111 (22 bits)
Octal 0o12011057
Hexadecimal 0x28122F

Divisor Catalog (16)

1 3 5 15 29 87 145 435 6,037 18,111 30,185 90,555 175,073 525,219 875,365 2,626,095

Collatz Trajectory (187 steps to reach 1)

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

2,626,095 7,878,286 3,939,143 11,817,430 5,908,715 17,726,146 8,863,073 26,589,220 13,294,610 6,647,305 19,941,916 9,970,958 4,985,479 14,956,438 7,478,219 22,434,658 11,217,329 33,651,988 16,825,994 8,412,997 25,238,992 12,619,496 6,309,748 3,154,874 1,577,437 4,732,312 2,366,156 1,183,078 591,539 1,774,618 887,309 2,661,928 1,330,964 665,482 332,741 998,224 499,112 249,556 124,778 62,389 187,168 93,584 46,792 23,396 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463

More profiles

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