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Atlas › Integer Profiles › Node 47,124,231

47,124,231

3 × 72 × 11 × 151 × 193
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 151 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 80,679,168
Proper Divisor Sum 33,554,937
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #47124223 ← → #47124257

Radix Representation

Decimal 47124231
Binary 10110011110000111100000111 (26 bits)
Octal 0o263607407
Hexadecimal 0x2CF0F07

Divisor Catalog (48)

1 3 7 11 21 33 49 77 147 151 193 231 453 539 579 1,057 1,351 1,617 1,661 2,123 3,171 4,053 4,983 6,369 7,399 9,457 11,627 14,861 22,197 28,371 29,143 34,881 44,583 81,389 87,429 104,027 204,001 244,167 312,081 320,573 612,003 961,719 1,428,007 2,244,011 4,284,021 6,732,033 15,708,077 47,124,231

Collatz Trajectory (199 steps to reach 1)

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

47,124,231 141,372,694 70,686,347 212,059,042 106,029,521 318,088,564 159,044,282 79,522,141 238,566,424 119,283,212 59,641,606 29,820,803 89,462,410 44,731,205 134,193,616 67,096,808 33,548,404 16,774,202 8,387,101 25,161,304 12,580,652 6,290,326 3,145,163 9,435,490 4,717,745 14,153,236 7,076,618 3,538,309 10,614,928 5,307,464 2,653,732 1,326,866 663,433 1,990,300 995,150 497,575 1,492,726 746,363 2,239,090 1,119,545 3,358,636 1,679,318 839,659 2,518,978 1,259,489 3,778,468 1,889,234 944,617 2,833,852 1,416,926 708,463 2,125,390 1,062,695 3,188,086 1,594,043 4,782,130 2,391,065 7,173,196 3,586,598 1,793,299

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