λ
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Atlas › Integer Profiles › Node 45,307,516

45,307,516

22 × 17 × 23 × 59 × 491
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 17 × 23 × 59 × 491
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 89,268,480
Proper Divisor Sum 43,960,964
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #45307513 ← → #45307519

Radix Representation

Decimal 45307516
Binary 10101100110101011001111100 (26 bits)
Octal 0o254653174
Hexadecimal 0x2B3567C

Divisor Catalog (48)

1 2 4 17 23 34 46 59 68 92 118 236 391 491 782 982 1,003 1,357 1,564 1,964 2,006 2,714 4,012 5,428 8,347 11,293 16,694 22,586 23,069 28,969 33,388 45,172 46,138 57,938 92,276 115,876 191,981 383,962 492,473 666,287 767,924 984,946 1,332,574 1,969,892 2,665,148 11,326,879 22,653,758 45,307,516

Collatz Trajectory (354 steps to reach 1)

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

45,307,516 22,653,758 11,326,879 33,980,638 16,990,319 50,970,958 25,485,479 76,456,438 38,228,219 114,684,658 57,342,329 172,026,988 86,013,494 43,006,747 129,020,242 64,510,121 193,530,364 96,765,182 48,382,591 145,147,774 72,573,887 217,721,662 108,860,831 326,582,494 163,291,247 489,873,742 244,936,871 734,810,614 367,405,307 1,102,215,922 551,107,961 1,653,323,884 826,661,942 413,330,971 1,239,992,914 619,996,457 1,859,989,372 929,994,686 464,997,343 1,394,992,030 697,496,015 2,092,488,046 1,046,244,023 3,138,732,070 1,569,366,035 4,708,098,106 2,354,049,053 7,062,147,160 3,531,073,580 1,765,536,790 882,768,395 2,648,305,186 1,324,152,593 3,972,457,780 1,986,228,890 993,114,445 2,979,343,336 1,489,671,668 744,835,834 372,417,917

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