λ
Integer Codex

6,500,525

52 × 43 × 6047
Deficient Odd Composite

For 6,500,525, the 12 positive divisors have a total of 8,249,472. Removing 6,500,525 leaves 1,748,947, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 43 × 6047
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,249,472
Proper Divisor Sum 1,748,947
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6500519 ← → #6500531

Radix Representation

Decimal 6500525
Binary 11000110011000010101101 (23 bits)
Octal 0o30630255
Hexadecimal 0x6330AD

Divisor Catalog (12)

1 5 25 43 215 1,075 6,047 30,235 151,175 260,021 1,300,105 6,500,525

Collatz Trajectory (64 steps to reach 1)

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

6,500,525 19,501,576 9,750,788 4,875,394 2,437,697 7,313,092 3,656,546 1,828,273 5,484,820 2,742,410 1,371,205 4,113,616 2,056,808 1,028,404 514,202 257,101 771,304 385,652 192,826 96,413 289,240 144,620 72,310 36,155 108,466 54,233 162,700 81,350 40,675 122,026 61,013 183,040 91,520 45,760 22,880 11,440 5,720 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32

More profiles

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