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Atlas › Integer Profiles › Node 29,969,764

29,969,764

22 × 112 × 19 × 3259
Abundant Even Composite

29,969,764 factors as 2^2 × 11^2 × 19 × 3259. Its 36 positive divisors give a proper-divisor sum of 30,731,436, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 19 × 3259
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 60,701,200
Proper Divisor Sum 30,731,436
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #29969761 ← → #29969801

Radix Representation

Decimal 29969764
Binary 1110010010100110101100100 (25 bits)
Octal 0o162246544
Hexadecimal 0x1C94D64

Divisor Catalog (36)

1 2 4 11 19 22 38 44 76 121 209 242 418 484 836 2,299 3,259 4,598 6,518 9,196 13,036 35,849 61,921 71,698 123,842 143,396 247,684 394,339 681,131 788,678 1,362,262 1,577,356 2,724,524 7,492,441 14,984,882 29,969,764

Collatz Trajectory (69 steps to reach 1)

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

29,969,764 14,984,882 7,492,441 22,477,324 11,238,662 5,619,331 16,857,994 8,428,997 25,286,992 12,643,496 6,321,748 3,160,874 1,580,437 4,741,312 2,370,656 1,185,328 592,664 296,332 148,166 74,083 222,250 111,125 333,376 166,688 83,344 41,672 20,836 10,418 5,209 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26

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