424,431

3² × 7 × 6737

For 424,431, the 12 positive divisors have a total of 700,752. Removing 424,431 leaves 276,321, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 6737

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 700,752

Proper Divisor Sum 276,321

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #424429 ← → #424433

Radix Representation

Decimal	424431
Binary	1100111100111101111 (19 bits)
Octal	0o1474757
Hexadecimal	0x679EF

Divisor Catalog (12)

1 3 7 9 21 63 6,737 20,211 47,159 60,633 141,477 424,431

Collatz Trajectory (218 steps to reach 1)

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

424,431 1,273,294 636,647 1,909,942 954,971 2,864,914 1,432,457 4,297,372 2,148,686 1,074,343 3,223,030 1,611,515 4,834,546 2,417,273 7,251,820 3,625,910 1,812,955 5,438,866 2,719,433 8,158,300 4,079,150 2,039,575 6,118,726 3,059,363 9,178,090 4,589,045 13,767,136 6,883,568 3,441,784 1,720,892 860,446 430,223 1,290,670 645,335 1,936,006 968,003 2,904,010 1,452,005 4,356,016 2,178,008 1,089,004 544,502 272,251 816,754 408,377 1,225,132 612,566 306,283 918,850 459,425 1,378,276 689,138 344,569 1,033,708 516,854 258,427 775,282 387,641 1,162,924 581,462

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