7,429,829

11 × 29 × 23291

For 7,429,829, the 8 positive divisors have a total of 8,385,120. Removing 7,429,829 leaves 955,291, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 29 × 23291

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,385,120

Proper Divisor Sum 955,291

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7429783 ← → #7429837

Radix Representation

Decimal	7429829
Binary	11100010101111011000101 (23 bits)
Octal	0o34257305
Hexadecimal	0x715EC5

Divisor Catalog (8)

1 11 29 319 23,291 256,201 675,439 7,429,829

Collatz Trajectory (67 steps to reach 1)

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

7,429,829 22,289,488 11,144,744 5,572,372 2,786,186 1,393,093 4,179,280 2,089,640 1,044,820 522,410 261,205 783,616 391,808 195,904 97,952 48,976 24,488 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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