λ
Integer Codex

4,401,425

52 × 72 × 3593
Deficient Odd Composite

For 4,401,425, the 18 positive divisors have a total of 6,350,598. Removing 4,401,425 leaves 1,949,173, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 7^2 × 3593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,350,598
Proper Divisor Sum 1,949,173
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4401421 ← → #4401427

Radix Representation

Decimal 4401425
Binary 10000110010100100010001 (23 bits)
Octal 0o20624421
Hexadecimal 0x432911

Divisor Catalog (18)

1 5 7 25 35 49 175 245 1,225 3,593 17,965 25,151 89,825 125,755 176,057 628,775 880,285 4,401,425

Collatz Trajectory (35 steps to reach 1)

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

4,401,425 13,204,276 6,602,138 3,301,069 9,903,208 4,951,604 2,475,802 1,237,901 3,713,704 1,856,852 928,426 464,213 1,392,640 696,320 348,160 174,080 87,040 43,520 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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