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Atlas › Integer Profiles › Node 47,334,232

47,334,232

23 × 112 × 107 × 457
Abundant Even Composite

47,334,232 factors as 2^3 × 11^2 × 107 × 457. Its 48 positive divisors give a proper-divisor sum of 51,346,448, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 107 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 98,680,680
Proper Divisor Sum 51,346,448
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #47334229 ← → #47334269

Radix Representation

Decimal 47334232
Binary 10110100100100001101011000 (26 bits)
Octal 0o264441530
Hexadecimal 0x2D24358

Divisor Catalog (48)

1 2 4 8 11 22 44 88 107 121 214 242 428 457 484 856 914 968 1,177 1,828 2,354 3,656 4,708 5,027 9,416 10,054 12,947 20,108 25,894 40,216 48,899 51,788 55,297 97,798 103,576 110,594 195,596 221,188 391,192 442,376 537,889 1,075,778 2,151,556 4,303,112 5,916,779 11,833,558 23,667,116 47,334,232

Collatz Trajectory (199 steps to reach 1)

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

47,334,232 23,667,116 11,833,558 5,916,779 17,750,338 8,875,169 26,625,508 13,312,754 6,656,377 19,969,132 9,984,566 4,992,283 14,976,850 7,488,425 22,465,276 11,232,638 5,616,319 16,848,958 8,424,479 25,273,438 12,636,719 37,910,158 18,955,079 56,865,238 28,432,619 85,297,858 42,648,929 127,946,788 63,973,394 31,986,697 95,960,092 47,980,046 23,990,023 71,970,070 35,985,035 107,955,106 53,977,553 161,932,660 80,966,330 40,483,165 121,449,496 60,724,748 30,362,374 15,181,187 45,543,562 22,771,781 68,315,344 34,157,672 17,078,836 8,539,418 4,269,709 12,809,128 6,404,564 3,202,282 1,601,141 4,803,424 2,401,712 1,200,856 600,428 300,214

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