λ
Prime Ledger

2,625,406

2 × 7 × 277 × 677
Deficient Even Composite

2,625,406 has the prime decomposition 2 × 7 × 277 × 677. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 277 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,523,616
Proper Divisor Sum 1,898,210
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2625397 ← → #2625433

Radix Representation

Decimal 2625406
Binary 1010000000111101111110 (22 bits)
Octal 0o12007576
Hexadecimal 0x280F7E

Divisor Catalog (16)

1 2 7 14 277 554 677 1,354 1,939 3,878 4,739 9,478 187,529 375,058 1,312,703 2,625,406

Collatz Trajectory (187 steps to reach 1)

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

2,625,406 1,312,703 3,938,110 1,969,055 5,907,166 2,953,583 8,860,750 4,430,375 13,291,126 6,645,563 19,936,690 9,968,345 29,905,036 14,952,518 7,476,259 22,428,778 11,214,389 33,643,168 16,821,584 8,410,792 4,205,396 2,102,698 1,051,349 3,154,048 1,577,024 788,512 394,256 197,128 98,564 49,282 24,641 73,924 36,962 18,481 55,444 27,722 13,861 41,584 20,792 10,396 5,198 2,599 7,798 3,899 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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