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Atlas › Integer Profiles › Node 29,191,456

29,191,456

25 × 72 × 18617
Abundant Even Composite

29,191,456 factors as 2^5 × 7^2 × 18617. Its 36 positive divisors give a proper-divisor sum of 37,665,782, so this integer is abundant. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2^5 × 7^2 × 18617
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 66,857,238
Proper Divisor Sum 37,665,782
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #29191447 ← → #29191457

Radix Representation

Decimal 29191456
Binary 1101111010110110100100000 (25 bits)
Octal 0o157266440
Hexadecimal 0x1BD6D20

Divisor Catalog (36)

1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1,568 18,617 37,234 74,468 130,319 148,936 260,638 297,872 521,276 595,744 912,233 1,042,552 1,824,466 2,085,104 3,648,932 4,170,208 7,297,864 14,595,728 29,191,456

Collatz Trajectory (237 steps to reach 1)

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

29,191,456 14,595,728 7,297,864 3,648,932 1,824,466 912,233 2,736,700 1,368,350 684,175 2,052,526 1,026,263 3,078,790 1,539,395 4,618,186 2,309,093 6,927,280 3,463,640 1,731,820 865,910 432,955 1,298,866 649,433 1,948,300 974,150 487,075 1,461,226 730,613 2,191,840 1,095,920 547,960 273,980 136,990 68,495 205,486 102,743 308,230 154,115 462,346 231,173 693,520 346,760 173,380 86,690 43,345 130,036 65,018 32,509 97,528 48,764 24,382 12,191 36,574 18,287 54,862 27,431 82,294 41,147 123,442 61,721 185,164

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