7,680,969

3² × 29 × 29429

7,680,969 factors as 3^2 × 29 × 29429. Its 12 positive divisors give a proper-divisor sum of 3,796,731, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 29429

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,477,700

Proper Divisor Sum 3,796,731

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7680929 ← → #7680973

Radix Representation

Decimal	7680969
Binary	11101010011001111001001 (23 bits)
Octal	0o35231711
Hexadecimal	0x7533C9

Divisor Catalog (12)

1 3 9 29 87 261 29,429 88,287 264,861 853,441 2,560,323 7,680,969

Collatz Trajectory (142 steps to reach 1)

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

7,680,969 23,042,908 11,521,454 5,760,727 17,282,182 8,641,091 25,923,274 12,961,637 38,884,912 19,442,456 9,721,228 4,860,614 2,430,307 7,290,922 3,645,461 10,936,384 5,468,192 2,734,096 1,367,048 683,524 341,762 170,881 512,644 256,322 128,161 384,484 192,242 96,121 288,364 144,182 72,091 216,274 108,137 324,412 162,206 81,103 243,310 121,655 364,966 182,483 547,450 273,725 821,176 410,588 205,294 102,647 307,942 153,971 461,914 230,957 692,872 346,436 173,218 86,609 259,828 129,914 64,957 194,872 97,436 48,718

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