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Atlas › Integer Profiles › Node 36,927,740

36,927,740

22 × 5 × 17 × 313 × 347
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 313 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 82,609,632
Proper Divisor Sum 45,681,892
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #36927691 ← → #36927767

Radix Representation

Decimal 36927740
Binary 10001100110111100011111100 (26 bits)
Octal 0o214674374
Hexadecimal 0x23378FC

Divisor Catalog (48)

1 2 4 5 10 17 20 34 68 85 170 313 340 347 626 694 1,252 1,388 1,565 1,735 3,130 3,470 5,321 5,899 6,260 6,940 10,642 11,798 21,284 23,596 26,605 29,495 53,210 58,990 106,420 108,611 117,980 217,222 434,444 543,055 1,086,110 1,846,387 2,172,220 3,692,774 7,385,548 9,231,935 18,463,870 36,927,740

Collatz Trajectory (214 steps to reach 1)

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

36,927,740 18,463,870 9,231,935 27,695,806 13,847,903 41,543,710 20,771,855 62,315,566 31,157,783 93,473,350 46,736,675 140,210,026 70,105,013 210,315,040 105,157,520 52,578,760 26,289,380 13,144,690 6,572,345 19,717,036 9,858,518 4,929,259 14,787,778 7,393,889 22,181,668 11,090,834 5,545,417 16,636,252 8,318,126 4,159,063 12,477,190 6,238,595 18,715,786 9,357,893 28,073,680 14,036,840 7,018,420 3,509,210 1,754,605 5,263,816 2,631,908 1,315,954 657,977 1,973,932 986,966 493,483 1,480,450 740,225 2,220,676 1,110,338 555,169 1,665,508 832,754 416,377 1,249,132 624,566 312,283 936,850 468,425 1,405,276

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