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Atlas › Integer Profiles › Node 36,780,772

36,780,772

22 × 72 × 23 × 41 × 199
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 23 × 41 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 80,438,400
Proper Divisor Sum 43,657,628
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #36780727 ← → #36780773

Radix Representation

Decimal 36780772
Binary 10001100010011101011100100 (26 bits)
Octal 0o214235344
Hexadecimal 0x2313AE4

Divisor Catalog (60 of 72)

1 2 4 7 14 23 28 41 46 49 82 92 98 161 164 196 199 287 322 398 574 644 796 943 1,127 1,148 1,393 1,886 2,009 2,254 2,786 3,772 4,018 4,508 4,577 5,572 6,601 8,036 8,159 9,154 9,751 13,202 16,318 18,308 19,502 26,404 32,039 32,636 39,004 46,207 57,113 64,078 92,414 114,226 128,156 184,828 187,657 224,273 228,452 375,314

Collatz Trajectory (227 steps to reach 1)

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

36,780,772 18,390,386 9,195,193 27,585,580 13,792,790 6,896,395 20,689,186 10,344,593 31,033,780 15,516,890 7,758,445 23,275,336 11,637,668 5,818,834 2,909,417 8,728,252 4,364,126 2,182,063 6,546,190 3,273,095 9,819,286 4,909,643 14,728,930 7,364,465 22,093,396 11,046,698 5,523,349 16,570,048 8,285,024 4,142,512 2,071,256 1,035,628 517,814 258,907 776,722 388,361 1,165,084 582,542 291,271 873,814 436,907 1,310,722 655,361 1,966,084 983,042 491,521 1,474,564 737,282 368,641 1,105,924 552,962 276,481 829,444 414,722 207,361 622,084 311,042 155,521 466,564 233,282

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