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Atlas › Integer Profiles › Node 29,596,308

29,596,308

22 × 3 × 7 × 23 × 15319
Abundant Even Composite

29,596,308 factors as 2^2 × 3 × 7 × 23 × 15319. Its 48 positive divisors give a proper-divisor sum of 52,764,012, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 23 × 15319
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 82,360,320
Proper Divisor Sum 52,764,012
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #29596291 ← → #29596309

Radix Representation

Decimal 29596308
Binary 1110000111001101010010100 (25 bits)
Octal 0o160715224
Hexadecimal 0x1C39A94

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1,932 15,319 30,638 45,957 61,276 91,914 107,233 183,828 214,466 321,699 352,337 428,932 643,398 704,674 1,057,011 1,286,796 1,409,348 2,114,022 2,466,359 4,228,044 4,932,718 7,399,077 9,865,436 14,798,154 29,596,308

Collatz Trajectory (193 steps to reach 1)

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

29,596,308 14,798,154 7,399,077 22,197,232 11,098,616 5,549,308 2,774,654 1,387,327 4,161,982 2,080,991 6,242,974 3,121,487 9,364,462 4,682,231 14,046,694 7,023,347 21,070,042 10,535,021 31,605,064 15,802,532 7,901,266 3,950,633 11,851,900 5,925,950 2,962,975 8,888,926 4,444,463 13,333,390 6,666,695 20,000,086 10,000,043 30,000,130 15,000,065 45,000,196 22,500,098 11,250,049 33,750,148 16,875,074 8,437,537 25,312,612 12,656,306 6,328,153 18,984,460 9,492,230 4,746,115 14,238,346 7,119,173 21,357,520 10,678,760 5,339,380 2,669,690 1,334,845 4,004,536 2,002,268 1,001,134 500,567 1,501,702 750,851 2,252,554 1,126,277

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