λ
Integer Codex

430,425

32 × 52 × 1913
Deficient Odd Composite

For 430,425, the 18 positive divisors have a total of 771,342. Removing 430,425 leaves 340,917, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 1913
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 771,342
Proper Divisor Sum 340,917
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #430411 ← → #430427

Radix Representation

Decimal 430425
Binary 1101001000101011001 (19 bits)
Octal 0o1510531
Hexadecimal 0x69159

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 1,913 5,739 9,565 17,217 28,695 47,825 86,085 143,475 430,425

Collatz Trajectory (99 steps to reach 1)

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

430,425 1,291,276 645,638 322,819 968,458 484,229 1,452,688 726,344 363,172 181,586 90,793 272,380 136,190 68,095 204,286 102,143 306,430 153,215 459,646 229,823 689,470 344,735 1,034,206 517,103 1,551,310 775,655 2,326,966 1,163,483 3,490,450 1,745,225 5,235,676 2,617,838 1,308,919 3,926,758 1,963,379 5,890,138 2,945,069 8,835,208 4,417,604 2,208,802 1,104,401 3,313,204 1,656,602 828,301 2,484,904 1,242,452 621,226 310,613 931,840 465,920 232,960 116,480 58,240 29,120 14,560 7,280 3,640 1,820 910 455

More profiles

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