λ
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4,231,997

7 × 11 × 17 × 53 × 61
Deficient Odd Composite

4,231,997 factors as 7 × 11 × 17 × 53 × 61. Its 32 positive divisors give a proper-divisor sum of 1,553,347, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 7 × 11 × 17 × 53 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,785,344
Proper Divisor Sum 1,553,347
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4231993 ← → #4232009

Radix Representation

Decimal 4231997
Binary 10000001001001100111101 (23 bits)
Octal 0o20111475
Hexadecimal 0x40933D

Divisor Catalog (32)

1 7 11 17 53 61 77 119 187 371 427 583 671 901 1,037 1,309 3,233 4,081 4,697 6,307 7,259 9,911 11,407 22,631 35,563 54,961 69,377 79,849 248,941 384,727 604,571 4,231,997

Collatz Trajectory (74 steps to reach 1)

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

4,231,997 12,695,992 6,347,996 3,173,998 1,586,999 4,760,998 2,380,499 7,141,498 3,570,749 10,712,248 5,356,124 2,678,062 1,339,031 4,017,094 2,008,547 6,025,642 3,012,821 9,038,464 4,519,232 2,259,616 1,129,808 564,904 282,452 141,226 70,613 211,840 105,920 52,960 26,480 13,240 6,620 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22

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