λ
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Atlas › Integer Profiles › Node 49,454,530

49,454,530

2 × 5 × 17 × 19 × 61 × 251
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 17 × 19 × 61 × 251
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 101,243,520
Proper Divisor Sum 51,788,990
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #49454527 ← → #49454543

Radix Representation

Decimal 49454530
Binary 10111100101001110111000010 (26 bits)
Octal 0o274516702
Hexadecimal 0x2F29DC2

Divisor Catalog (60 of 64)

1 2 5 10 17 19 34 38 61 85 95 122 170 190 251 305 323 502 610 646 1,037 1,159 1,255 1,615 2,074 2,318 2,510 3,230 4,267 4,769 5,185 5,795 8,534 9,538 10,370 11,590 15,311 19,703 21,335 23,845 30,622 39,406 42,670 47,690 76,555 81,073 98,515 153,110 162,146 197,030 260,287 290,909 405,365 520,574 581,818 810,730 1,301,435 1,454,545 2,602,870 2,909,090

Collatz Trajectory (212 steps to reach 1)

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

49,454,530 24,727,265 74,181,796 37,090,898 18,545,449 55,636,348 27,818,174 13,909,087 41,727,262 20,863,631 62,590,894 31,295,447 93,886,342 46,943,171 140,829,514 70,414,757 211,244,272 105,622,136 52,811,068 26,405,534 13,202,767 39,608,302 19,804,151 59,412,454 29,706,227 89,118,682 44,559,341 133,678,024 66,839,012 33,419,506 16,709,753 50,129,260 25,064,630 12,532,315 37,596,946 18,798,473 56,395,420 28,197,710 14,098,855 42,296,566 21,148,283 63,444,850 31,722,425 95,167,276 47,583,638 23,791,819 71,375,458 35,687,729 107,063,188 53,531,594 26,765,797 80,297,392 40,148,696 20,074,348 10,037,174 5,018,587 15,055,762 7,527,881 22,583,644 11,291,822

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